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Key	type	Date	Author	Title	Journal
Cavalletti17	inbook	2017	Fabio CavallettiF. Cavalletti	An Overview of $L^1$ optimal transportation on metric measure spaces
BeranBraunCalistiGigliMcCannEtAl24	unpublished	2024	Tobias BeranT. Beran, Mathias BraunM. Braun, Matteo CalistiM. Calisti, Nicola GigliN. Gigli, Robert J. McCannR. J. McCann, Argam OhanyanA. Ohanyan, Felix RottF. Rott, and Clemens SämannC. Sämann	A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes	Preprint at arXiv:2408.15968
PORTINALE17	misc	2017	Lorenzo PortinaleL. Portinale	Metric Measure Spaces and Upper Regularity of Dirichlet Forms.
Rademacher04	article	2004	Hans-Bert RademacherH.-B. Rademacher	A sphere theorem for non-reversible Finsler metrics	Math. Ann.
Ohta10	incollection	2010	Shin-ichi OhtaS. Ohta	Optimal transport and Ricci curvature in Finsler geometry
FranceschiMontiRighiniSigalotti22	unpublished	2022	Valentina FranceschiV. Franceschi, Roberto MontiR. Monti, Alberto RighiniA. Righini, and Mario SigalottiM. Sigalotti	The isoperimetric problem for regular and crystalline norms in $\mathbb{H}^1$	Preprint at arXiv:2007.11384
AbediLiSchultz22	unpublished	2022	Ehsan AbediE. Abedi, Zhenhao LiZ. Li, and Timo SchultzT. Schultz	Absolutely continuous and BV-curves in $1$-Wasserstein spaces	Preprint at arXiv:2209.04268
CarmoFlaherty92	book	1992	Manfredo Perdigao CarmoM. P. Carmo and Francis FlahertyF. Flaherty	Riemannian Geometry
Ohta21	book	2021	Shin-ichi OhtaS. Ohta	Comparison Finsler Geometry
Am01	article	2001	Luigi AmbrosioL. Ambrosio	Some Fine Properties of Sets of Finite Perimeter in Ahlfors Regular Metric Measure Spaces	Adv. Math.
Am02	article	2002	Luigi AmbrosioL. Ambrosio	Fine Properties of Sets of Finite Perimeter in Doubling Metric Measure Spaces	Set-Valued Anal.
CaCo12	article	2012	Giacomo CanevariG. Canevari and Pierluigi ColliP. Colli	Solvability and asymptotic analysis of a generalization of the Caginalp phase field system	Commun. Pure Appl. Anal.
CaCo13	article	2013	Giacomo CanevariG. Canevari and Pierluigi ColliP. Colli	Convergence properties for a generalization of the Caginalp phase field system	Asymptot. Anal.
BaCoGiMaRo17	article	2017	Viorel BarbuV. Barbu, Pierluigi ColliP. Colli, Gianni GilardiG. Gilardi, Gabriela MarinoschiG. Marinoschi, and Elisabetta RoccaE. Rocca	Sliding mode control for a nonlinear phase-field system	SIAM J. Control Optim.
Si87	article	1987	Jacques SimonJ. Simon	Compact sets in the space $L^p(0,T;B)$	Ann. Mat. Pura Appl. (4)
Ca86	article	1986	Gunduz CaginalpG. Caginalp	An analysis of a phase field model of a free boundary	Arch. Rational Mech. Anal.
ChRaSu11	article	2011	Meng-Bi ChengM.-B. Cheng, Verica RadisavljevicV. Radisavljevic, and Wu-Chung SuW.-C. Su	Sliding mode boundary control of a parabolic PDE system with parameter variations and boundary uncertainties	Automatica J. IFAC
GrNa91	article	1991	A. E. GreenA. E. Green and P. M. NaghdiP. M. Naghdi	A re-examination of the basic postulates of thermomechanics	Proc. Roy. Soc. London Ser. A
GrNa92	article	1992	A. E. GreenA. E. Green and P. M. NaghdiP. M. Naghdi	On undamped heat waves in an elastic solid	J. Thermal Stresses
GrNa93	article	1993	A. E. GreenA. E. Green and P. M. NaghdiP. M. Naghdi	Thermoelasticity without energy dissipation	J. Elasticity
Le02	article	2002	Laura LevaggiL. Levaggi	Infinite dimensional systems' sliding motions	Eur. J. Control
Le13	article	2013	Laura LevaggiL. Levaggi	Existence of sliding motions for nonlinear evolution equations in Banach spaces	Discrete Contin. Dyn. Syst.
Or00	article	2000	Yuri V. OrlovY. V. Orlov	Discontinuous unit feedback control of uncertain infinite-dimensional systems	IEEE Trans. Automat. Control
OrUt83	article	1983	Yuri V. OrlovY. V. Orlov and V. I. UtkinV. I. Utkin	Use of sliding modes in distributed system control problems	Automat. Remote Control
OrUt87	article	1987	Yu. V. OrlovY. V. Orlov and V. I. UtkinV. I. Utkin	Sliding mode control in indefinite-dimensional systems	Automatica J. IFAC
OrUt98	article	1998	Yuri OrlovY. Orlov and Vadim I. UtkinV. I. Utkin	Unit sliding mode control in infinite-dimensional systems	Appl. Math. Comput. Sci.
Po09	article	2009	Paolo Podio-GuidugliP. Podio-Guidugli	A virtual power format for thermomechanics	Contin. Mech. Thermodyn.
XiLiGaKa13	article	2013	Hailong XingH. Xing, Donghai LiD. Li, Cunchen GaoC. Gao, and Yonggui KaoY. Kao	Delay-independent sliding mode control for a class of quasi-linear parabolic distributed parameter systems with time-varying delay	J. Franklin Inst.
Br73	book	1973	Haim BrézisH. Brézis	Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert
Ba10	book	2010	Viorel BarbuV. Barbu	Nonlinear differential equations of monotone types in Banach spaces
CaHa98	book	1998	Thierry CazenaveT. Cazenave and Alain HarauxA. Haraux	An introduction to semilinear evolution equations
EtKu86	book	1986	Stewart N. EthierS. N. Ethier and Thomas G. KurtzT. G. Kurtz	Markov processes, Characterization and convergence
Da93	book	1993	Gianni Dal MasoG. Dal Maso	An introduction to $\Gamma$-convergence
Ut92	book	1992	Vadim I. UtkinV. I. Utkin	Sliding modes in control and optimization
Ev98	book	1998	Lawrence Craig EvansL. C. Evans	Partial differential equations
Br11	book	2011	Haim BrézisH. Brézis	Functional Analysis, Sobolev Spaces and Partial Differential Equations
Rockafellar70	book	1970	R. Tyrrell RockafellarR. T. Rockafellar	Convex analysis
AgFoMa20	article	2020	Virginia AgostinianiV. Agostiniani, Mattia FogagnoloM. Fogagnolo, and Lorenzo MazzieriL. Mazzieri	Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature	Invent. Math.
AmDiGi17	article	2017	Luigi AmbrosioL. Ambrosio, Simone Di MarinoS. Di Marino, and Nicola GigliN. Gigli	Perimeter as relaxed Minkowski content in metric measure spaces	Nonlinear Anal.
BaKr20	unpublished	2020	Zoltán M. BaloghZ. M. Balogh and Alexandru KristályA. Kristály	Sharp geometric inequalities in spaces with nonnegative Ricci curvature and Euclidean volume growth	Preprint at arXiv:2012.11862
BaKrSi18	article	2018	Zoltán M. BaloghZ. M. Balogh, Alexandru KristályA. Kristály, and Kinga SiposK. Sipos	Geometric inequalities on Heisenberg groups	Calc. Var. Partial Differential Equations
BaRi19	article	2019	Davide BarilariD. Barilari and Luca RizziL. Rizzi	Sub-Riemannian interpolation inequalities	Invent. Math.
Br21	article	2021	Simon BrendleS. Brendle	The isoperimetric inequality for a minimal submanifold in Euclidean space	J. Amer. Math. Soc.
Br20	unpublished	2020	Simon BrendleS. Brendle	Sobolev inequalities in manifolds with nonnegative curvature	Preprint at arXiv:2009.13717
CaMo17	article	2017	Fabio CavallettiF. Cavalletti and Andrea MondinoA. Mondino	Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds	Invent. Math.
CaMo20	article	2020	Fabio CavallettiF. Cavalletti and Andrea MondinoA. Mondino	New formulas for the Laplacian of distance functions and applications	Anal. PDE
CaSa19	article	2019	Fabio CavallettiF. Cavalletti and Flavia SantarcangeloF. Santarcangelo	Isoperimetric inequality under measure-contraction property	J. Funct. Anal.
GrMi87	article	1987	M. GromovM. Gromov and V. D. MilmanV. D. Milman	Generalization of the spherical isoperimetric inequality to uniformly convex Banach spaces	Compos. Math.
KaLoSi95	article	1995	R. KannanR. Kannan, L. LovászL. Lovász, and M. SimonovitsM. Simonovits	Isoperimetric problems for convex bodies and a localization lemma	Discrete Comput. Geom.
Kl17	article	2017	Bo'az KlartagB. Klartag	Needle decompositions in Riemannian geometry	Mem. Amer. Math. Soc.
LoVi09	article	2009	John LottJ. Lott and Cédric VillaniC. Villani	Ricci curvature for metric-measure spaces via optimal transport	Ann. of Math. (2)
Mi15	article	2015	Emanuel MilmanE. Milman	Sharp isoperimetric inequalities and model spaces for the curvature-dimension-diameter condition	J. Eur. Math. Soc. (JEMS)
Mi	unpublished	2019	Emanuel MilmanE. Milman	The Quasi Curvature-Dimension Condition with applications to sub-Riemannian manifolds	Preprint at arxiv:1908.01513
Oh07	article	2007	Shin-ichi OhtaS. Ohta	On the measure contraction property of metric measure spaces	Comment. Math. Helv.
PaWe60	article	1960	L. E. PayneL. E. Payne and H. F. WeinbergerH. F. Weinberger	An optimal Poincaré inequality for convex domains	Arch. Rational Mech. Anal.
Ra16	article	2016	Tapio RajalaT. Rajala	Failure of the local-to-global property for $CD(K, N)$ spaces	Ann. Sc. Norm. Super. Pisa Cl. Sci. (5)
RaSt14	article	2014	Tapio RajalaT. Rajala and Karl-Theodor SturmK.-T. Sturm	Non-branching geodesics and optimal maps in strong $CD(K,\infty{})$-spaces	Calc. Var. Partial Differential Equations
St06	article	2006	Karl-Theodor SturmK.-T. Sturm	On the geometry of metric measure spaces. II	Acta Math.
St06-2	article	2006	Karl-Theodor SturmK.-T. Sturm	On the geometry of metric measure spaces. I	Acta Math.
Am03	inbook	2003	Luigi AmbrosioL. Ambrosio	Lecture Notes on Optimal Transport Problems
AmGiMoRa15	article	2015	Luigi AmbrosioL. Ambrosio, Nicola GigliN. Gigli, Andrea MondinoA. Mondino, and Tapio RajalaT. Rajala	Riemannian Ricci curvature lower bounds in metric measure spaces with $\sigma$-finite measure	Trans. Amer. Math. Soc.
AmGiSa14	article	2014	Luigi AmbrosioL. Ambrosio, Nicola GigliN. Gigli, and Giuseppe SavaréG. Savaré	Metric measure spaces with Riemannian Ricci curvature bounded from below	Duke Math. J.
AmMoSa19	article	2019	Luigi AmbrosioL. Ambrosio, Andrea MondinoA. Mondino, and Giuseppe SavaréG. Savaré	Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces	Mem. Amer. Math. Soc.
BaSt10	article	2010	Kathrin BacherK. Bacher and Karl-Theodor SturmK.-T. Sturm	Localization and tensorization properties of the curvature-dimension condition for metric measure spaces	J. Funct. Anal.
Ca14	article	2014	Fabio CavallettiF. Cavalletti	Monge problem in metric measure spaces with Riemannian curvature-dimension condition	Nonlinear Anal.
CaMi21	article	2021	Fabio CavallettiF. Cavalletti and Emanuel MilmanE. Milman	The globalization theorem for the Curvature-Dimension condition	Invent. Math.
CaMo17_2	article	2017	Fabio CavallettiF. Cavalletti and Andrea MondinoA. Mondino	Optimal maps in essentially non-branching spaces	Commun. Contemp. Math.
CaMo18	article	2018	Fabio CavallettiF. Cavalletti and Andrea MondinoA. Mondino	Isoperimetric inequalities for finite perimeter sets under lower Ricci curvature bounds	Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.
ErKuSt15	article	2015	Matthias ErbarM. Erbar, Kazumasa KuwadaK. Kuwada, and Karl-Theodor SturmK.-T. Sturm	On the equivalence of the entropic curvature-dimension condition and Bochner’s inequality on metric measure spaces	Invent. Math.
EvGa99	article	1999	Lawrence Craig EvansL. C. Evans and Wilfrid GangboW. Gangbo	Differential equations methods for the Monge-Kantorovich mass transfer problem	Mem. Amer. Math. Soc.
FeMc02	article	2002	Mikhail FeldmanM. Feldman and Robert J. McCannR. J. McCann	Monge's transport problem on a Riemannian manifold	Trans. Amer. Math. Soc.
Gi15	article	2015	Nicola GigliN. Gigli	On the differential structure of metric measure spaces and applications	Mem. Amer. Math. Soc.
LoSi93	article	1993	László LovászL. Lovász and Miklós SimonovitsM. Simonovits	Random Walks in a Convex Body and an Improved Volume Algorithm	Random Structures Algorithms
Sr98	book	1998	S. M. SrivastavaS. M. Srivastava	A course on Borel sets
CoMa21	article	2021	Pierluigi ColliP. Colli and Davide ManiniD. Manini	Sliding Mode Control for a Generalization of the Caginalp Phase-Field System	Appl. Math. Optim.
AnPaPoSe22	unpublished	2022	Gioacchino AntonelliG. Antonelli, Enrico PasqualettoE. Pasqualetto, Marco PozzettaM. Pozzetta, and Daniele SemolaD. Semola	Sharp isoperimetric comparison and asymptotic isoperimetry on non collapsed spaces with lower Ricci bounds	Preprint at arXiv:2201.04916v1
AnNaPo22	unpublished	2022	Gioacchino AntonelliG. Antonelli, Stefano NardulliS. Nardulli, and Marco PozzettaM. Pozzetta	The isoperimetric problem via direct method in noncompact metric measure spaces with lower Ricci bounds	Preprint at arXiv:2201.03525v1
AnFoPo21	unpublished	2021	Gioacchino AntonelliG. Antonelli, Mattia FogagnoloM. Fogagnolo, and Marco PozzettaM. Pozzetta	The isoperimetric problem on Riemannian manifolds via Gromov–Hausdorff asymptotic analysis	Preprint at arXiv:2101.12711v2
AnBrFoPo22	article	2022	Gioacchino AntonelliG. Antonelli, Elia BruèE. Bruè, Mattia FogagnoloM. Fogagnolo, and Marco PozzettaM. Pozzetta	On the existence of isoperimetric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth	Calc. Var. Partial Differential Equations
FoMa21	unpublished	2021	Mattia FogagnoloM. Fogagnolo and Lorenzo MazzieriL. Mazzieri	Minimising hulls, $p$-capacity and isoperimetric inequality on complete Riemannian manifolds	Preprint at arXiv:2012.09490v2
BaKr22	article	2023	Zoltán M. BaloghZ. M. Balogh and Alexandru KristályA. Kristály	Sharp isoperimetric and Sobolev inequalities in spaces with nonnegative Ricci curvature	Math. Ann.
Ma12	book	2012	Francesco MaggiF. Maggi	Sets of finite perimeter and geometric variational problems
Ev10	book	2010	Lawrence C. EvansL. C. Evans	Partial differential equations
Le76	article	1976	Jean‐Marc Lévy‐LeblondJ. Lévy‐Leblond	One more derivation of the Lorentz transformation	Amer. J. Phys.
GiPa20	book	2020	Nicola GigliN. Gigli and Enrico PasqualettoE. Pasqualetto	Lectures on Nonsmooth Differential Geometry
BrHa22	unpublished	2022	Giovanni BrigatiG. Brigati and Ivailo HartarskyI. Hartarsky	The normal contraction property for non-bilinear Dirichlet forms	Preprint at arXiv:2205.02928v1
Br22	unpublished	2022	Giovanni BrigatiG. Brigati	Time averages for kinetic Fokker–Planck equations	Preprint at arXiv:2106.12801v2
AmDi14	article	2014	Luigi AmbrosioL. Ambrosio and Simone Di MarinoS. Di Marino	Equivalent definitions of $BV$ space and of total variation on metric measure spaces	J. Funct. Anal.
Di21	article	2021	Daniela Di DonatoD. Di Donato	Intrinsic Differentiability and Intrinsic Regular Surfaces in Carnot Groups	Potential Anal.
CaMaMo18	article	2018	Fabio CavallettiF. Cavalletti, Francesco MaggiF. Maggi, and Andrea MondinoA. Mondino	Quantitative Isoperimetry à la Levy–Gromov	Comm. Pure Appl. Math.
AmGiSa13	article	2013	Luigi AmbrosioL. Ambrosio, Nicola GigliN. Gigli, and Giuseppe SavaréG. Savaré	Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces	Rev. Mat. Iberoamericana
Ra13	unpublished	2013	Tapio RajalaT. Rajala	Failure of the local-to-global property for $\mathsf{CD}(K,N)$ spaces	Preprint at arXiv:1305.6436v1
BrGiHoZh21	unpublished	2021	Camillo BrenaC. Brena, Nicola GigliN. Gigli, Shouhei HondaS. Honda, and Xingyu ZhuX. Zhu	Weakly non-collapsed $\mathbf{RCD}$ spaces are strongly non-collapsed	Preprint at arXiv:2110.02420v1
Li07	article	2007	Stefano LisiniS. Lisini	Characterization of absolutely continuous curves in Wasserstein spaces	Calc. Var. Partial Differential Equations
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BaGeLeLu22	unpublished	2022	Marco BagnaraM. Bagnara, Luca GennaioliL. Gennaioli, Giacomo Maria LecceseG. M. Leccese, and Eliseo LuongoE. Luongo	On the Hausdorff Measure of $\mathbb{R}^n$ with the Euclidean Topology	Preprint at arXiv:2203.03393v2
AmbrosioGigliSavare05	book	2005	Luigi AmbrosioL. Ambrosio, Nicola GigliN. Gigli, and Giuseppe SavaréG. Savaré	Gradient flows in metric spaces and in the space of probability measures
Bakry94	incollection	1994	Dominique BakryD. Bakry	L'hypercontractivité et son utilisation en théorie des semigroupes
BakryEmery85	incollection	1985	D. BakryD. Bakry and Michel ÉmeryM. Émery	Diffusions hypercontractives
BochnakCosteRoy98	book	1998	Jacek BochnakJ. Bochnak, Michel CosteM. Coste, and Marie-Françoise RoyM.-F. Roy	Real algebraic geometry	Translated from the 1987 French original, Revised by the authors
CabreRosOtonSerra16	article	2016	Xavier CabréX. Cabré, Xavier Ros-OtonX. Ros-Oton, and Joaquim SerraJ. Serra	Sharp isoperimetric inequalities via the ABP method	J. Eur. Math. Soc. (JEMS)
Cavalletti14	article	2014	Fabio CavallettiF. Cavalletti	Decomposition of geodesics in the Wasserstein space and the globalization problem	Geom. Funct. Anal.
CavallettiMondino17	article	2017	Fabio CavallettiF. Cavalletti and Andrea MondinoA. Mondino	Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds	Geom. Topol.
CintiGlaudoPratelliRosOtonSerra22	article	2022	E. CintiE. Cinti, F. GlaudoF. Glaudo, A. PratelliA. Pratelli, X. Ros-OtonX. Ros-Oton, and J. SerraJ. Serra	Sharp quantitative stability for isoperimetric inequalities with homogeneous weights	Trans. Amer. Math. Soc.
CiraoloLi22	article	2022	Giulio CiraoloG. Ciraolo and Xiaoliang LiX. Li	An exterior overdetermined problem for Finsler $N$-Laplacian in convex cones	Calc. Var. Partial Differential Equations
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DipierroPoggesiValdinoci22	article	2022	Serena DipierroS. Dipierro, Giorgio PoggesiG. Poggesi, and Enrico ValdinociE. Valdinoci	Radial symmetry of solutions to anisotropic and weighted diffusion equations with discontinuous nonlinearities	Calc. Var. Partial Differential Equations
Dudley99	book	1999	R. M. DudleyR. M. Dudley	Uniform central limit theorems
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FogagnoloMazzieri20	unpublished	2020	Mattia FogagnoloM. Fogagnolo and Lorenzo MazzieriL. Mazzieri	Minimising hulls, p-capacity and isoperimetric inequality on complete Riemannian manifolds	Preprint at arXiv:2012.09490
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Johne21	unpublished	2021	Florian JohneF. Johne	Sobolev inequalities on manifolds with nonnegative Bakry-Émery Ricci curvature	Preprint at 2103.08496
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AntonelliPasqualettoPozzetta21	unpublished	2021	Gioacchino AntonelliG. Antonelli, Enrico PasqualettoE. Pasqualetto, and Marco PozzettaM. Pozzetta	Isoperimetric sets in spaces with lower bounds on the Ricci curvature	Preprint at arXiv:2107.03124v2
AntonelliPasqualettoPozzetta22	article	2022	Gioacchino AntonelliG. Antonelli, Enrico PasqualettoE. Pasqualetto, and Marco PozzettaM. Pozzetta	Isoperimetric sets in spaces with lower bounds on the Ricci curvature	Nonlinear Anal.
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CavallettiRajala16	article	2016	Fabio CavallettiF. Cavalletti and Tapio RajalaT. Rajala	Tangent Lines and Lipschitz Differentiability Spaces	Anal. Geom. Metr. Spaces
CavallettiFarinelli21	article	2021	Fabio CavallettiF. Cavalletti and Sara FarinelliS. Farinelli	Indeterminacy estimates and the size of nodal sets in singular spaces	Adv. Math.
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DupaigneGentilZugmeyer21	unpublished	2021	Louis DupaigneL. Dupaigne, Ivan GentilI. Gentil, and Simon ZugmeyerS. Zugmeyer	A conformal geometric point of view on the Caffarelli–Kohn–Nirenberg inequality	Preprint at arXiv:2111.15383
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CorderoErausquinNazaretVillani04	article	2004	D. Cordero-ErausquinD. Cordero-Erausquin, B. NazaretB. Nazaret, and C. VillaniC. Villani	A mass-transportation approach to sharp Sobolev and Gagliardo–Nirenberg inequalities	Adv. Math.
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NobiliViolo21	unpublished	2021	Francesco NobiliF. Nobili and Ivan Yuri VioloI. Y. Violo	Rigidity and almost rigidity of Sobolev inequalities on compact spaces with lower Ricci curvature bounds	Preprint at arXiv:2108.02135
GigliNobili21	unpublished	2021	Nicola GigliN. Gigli and Francesco NobiliF. Nobili	A first-order condition for the independence on $p$ of weak gradients	Preprint at arXiv:2112.12849
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AkdemirCavallettiColinetMcCannSantarcangelo20	unpublished	2020	Afiny AkdemirA. Akdemir, Fabio CavallettiF. Cavalletti, Andrew ColinetA. Colinet, Robert McCannR. McCann, and Flavia SantarcangeloF. Santarcangelo	Independence of synthetic Curvature Dimension conditions on transport distance exponent	Preprint at arXiv:2007.10980
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