No. of entries: . Show: Key Type Date

Key	type	Date	Author	Title	Journal
Cavalletti17	inbook	2017	F. Cavalletti Cavalletti Fabio	An Overview of L^1 optimal transportation on metric measure spaces
BeranBraunCalistiGigliMcCannEtAl24	unpublished	2024	T. Beran, M. Braun, M. Calisti, N. Gigli, R. McCann, A. Ohanyan, F. Rott, C. Sämann Beran Tobias Braun Mathias Calisti Matteo Gigli Nicola McCann Robert J. Ohanyan Argam Rott Felix Sämann Clemens	A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes	Preprint at arXiv:2408.15968
PORTINALE17	misc	2017	L. Portinale Portinale Lorenzo	Metric Measure Spaces and Upper Regularity of Dirichlet Forms.
Rademacher04	article	2004	H. Rademacher Rademacher Hans-Bert	A sphere theorem for non-reversible Finsler metrics	Math. Ann.
Ohta10	incollection	2010	S. Ohta Ohta Shin-ichi	Optimal transport and Ricci curvature in Finsler geometry
FranceschiMontiRighiniSigalotti22	unpublished	2022	V. Franceschi, R. Monti, A. Righini, M. Sigalotti Franceschi Valentina Monti Roberto Righini Alberto Sigalotti Mario	The isoperimetric problem for regular and crystalline norms in \mathbb{H}^1	Preprint at arXiv:2007.11384
AbediLiSchultz22	unpublished	2022	E. Abedi, Z. Li, T. Schultz Abedi Ehsan Li Zhenhao Schultz Timo	Absolutely continuous and BV-curves in 1-Wasserstein spaces	Preprint at arXiv:2209.04268
CarmoFlaherty92	book	1992	M. Carmo, F. Flaherty Carmo Manfredo Perdigao Flaherty Francis	Riemannian Geometry
Ohta21	book	2021	S. Ohta Ohta Shin-ichi	Comparison Finsler Geometry
Am01	article	2001	L. Ambrosio Ambrosio Luigi	Some Fine Properties of Sets of Finite Perimeter in Ahlfors Regular Metric Measure Spaces	Adv. Math.
Am02	article	2002	L. Ambrosio Ambrosio Luigi	Fine Properties of Sets of Finite Perimeter in Doubling Metric Measure Spaces	Set-Valued Anal.
CaCo12	article	2012	G. Canevari, P. Colli Canevari Giacomo Colli Pierluigi	Solvability and asymptotic analysis of a generalization of the Caginalp phase field system	Commun. Pure Appl. Anal.
CaCo13	article	2013	G. Canevari, P. Colli Canevari Giacomo Colli Pierluigi	Convergence properties for a generalization of the Caginalp phase field system	Asymptot. Anal.
BaCoGiMaRo17	article	2017	V. Barbu, P. Colli, G. Gilardi, G. Marinoschi, E. Rocca Barbu Viorel Colli Pierluigi Gilardi Gianni Marinoschi Gabriela Rocca Elisabetta	Sliding mode control for a nonlinear phase-field system	SIAM J. Control Optim.
Si87	article	1987	J. Simon Simon Jacques	Compact sets in the space L^p(0,T;B)	Ann. Mat. Pura Appl. (4)
Ca86	article	1986	G. Caginalp Caginalp Gunduz	An analysis of a phase field model of a free boundary	Arch. Rational Mech. Anal.
ChRaSu11	article	2011	M. Cheng, V. Radisavljevic, W. Su Cheng Meng-Bi Radisavljevic Verica Su Wu-Chung	Sliding mode boundary control of a parabolic PDE system with parameter variations and boundary uncertainties	Automatica J. IFAC
GrNa91	article	1991	A. Green, P. Naghdi Green A. E. Naghdi P. M.	A re-examination of the basic postulates of thermomechanics	Proc. Roy. Soc. London Ser. A
GrNa92	article	1992	A. Green, P. Naghdi Green A. E. Naghdi P. M.	On undamped heat waves in an elastic solid	J. Thermal Stresses
GrNa93	article	1993	A. Green, P. Naghdi Green A. E. Naghdi P. M.	Thermoelasticity without energy dissipation	J. Elasticity
Le02	article	2002	L. Levaggi Levaggi Laura	Infinite dimensional systems' sliding motions	Eur. J. Control
Le13	article	2013	L. Levaggi Levaggi Laura	Existence of sliding motions for nonlinear evolution equations in Banach spaces	Discrete Contin. Dyn. Syst.
Or00	article	2000	Y. Orlov Orlov Yuri V.	Discontinuous unit feedback control of uncertain infinite-dimensional systems	IEEE Trans. Automat. Control
OrUt83	article	1983	Y. Orlov, V. Utkin Orlov Yuri V. Utkin V. I.	Use of sliding modes in distributed system control problems	Automat. Remote Control
OrUt87	article	1987	Y. Orlov, V. Utkin Orlov Yu. V. Utkin V. I.	Sliding mode control in indefinite-dimensional systems	Automatica J. IFAC
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Po09	article	2009	P. Podio-Guidugli Podio-Guidugli Paolo	A virtual power format for thermomechanics	Contin. Mech. Thermodyn.
XiLiGaKa13	article	2013	H. Xing, D. Li, C. Gao, Y. Kao Xing Hailong Li Donghai Gao Cunchen Kao Yonggui	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	H. Brézis Brézis Haim	Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert
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Ut92	book	1992	V. Utkin Utkin Vadim I.	Sliding modes in control and optimization
Ev98	book	1998	L. Evans Evans Lawrence Craig	Partial differential equations
Br11	book	2011	H. Brézis Brézis Haim	Functional Analysis, Sobolev Spaces and Partial Differential Equations
Rockafellar70	book	1970	R. Rockafellar Rockafellar R. Tyrrell	Convex analysis
AgFoMa20	article	2020	V. Agostiniani, M. Fogagnolo, L. Mazzieri Agostiniani Virginia Fogagnolo Mattia Mazzieri Lorenzo	Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature	Invent. Math.
AmDiGi17	article	2017	L. Ambrosio, S. Di Marino, N. Gigli Ambrosio Luigi Di Marino Simone Gigli Nicola	Perimeter as relaxed Minkowski content in metric measure spaces	Nonlinear Anal.
BaKr20	unpublished	2020	Z. Balogh, A. Kristály Balogh Zoltán M. Kristály Alexandru	Sharp geometric inequalities in spaces with nonnegative Ricci curvature and Euclidean volume growth	Preprint at arXiv:2012.11862
BaKrSi18	article	2018	Z. Balogh, A. Kristály, K. Sipos Balogh Zoltán M. Kristály Alexandru Sipos Kinga	Geometric inequalities on Heisenberg groups	Calc. Var. Partial Differential Equations
BaRi19	article	2019	D. Barilari, L. Rizzi Barilari Davide Rizzi Luca	Sub-Riemannian interpolation inequalities	Invent. Math.
Br21	article	2021	S. Brendle Brendle Simon	The isoperimetric inequality for a minimal submanifold in Euclidean space	J. Amer. Math. Soc.
Br20	unpublished	2020	S. Brendle Brendle Simon	Sobolev inequalities in manifolds with nonnegative curvature	Preprint at arXiv:2009.13717
CaMo17	article	2017	F. Cavalletti, A. Mondino Cavalletti Fabio Mondino Andrea	Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds	Invent. Math.
CaMo20	article	2020	F. Cavalletti, A. Mondino Cavalletti Fabio Mondino Andrea	New formulas for the Laplacian of distance functions and applications	Anal. PDE
CaSa19	article	2019	F. Cavalletti, F. Santarcangelo Cavalletti Fabio Santarcangelo Flavia	Isoperimetric inequality under measure-contraction property	J. Funct. Anal.
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LoVi09	article	2009	J. Lott, C. Villani Lott John Villani Cédric	Ricci curvature for metric-measure spaces via optimal transport	Ann. of Math. (2)
Mi15	article	2015	E. Milman Milman Emanuel	Sharp isoperimetric inequalities and model spaces for the curvature-dimension-diameter condition	J. Eur. Math. Soc. (JEMS)
Mi	unpublished	2019	E. Milman Milman Emanuel	The Quasi Curvature-Dimension Condition with applications to sub-Riemannian manifolds	Preprint at arxiv:1908.01513
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RaSt14	article	2014	T. Rajala, K. Sturm Rajala Tapio Sturm Karl-Theodor	Non-branching geodesics and optimal maps in strong CD(K,\infty{})-spaces	Calc. Var. Partial Differential Equations
St06	article	2006	K. Sturm Sturm Karl-Theodor	On the geometry of metric measure spaces. II	Acta Math.
St06-2	article	2006	K. Sturm Sturm Karl-Theodor	On the geometry of metric measure spaces. I	Acta Math.
Am03	inbook	2003	L. Ambrosio Ambrosio Luigi	Lecture Notes on Optimal Transport Problems
AmGiMoRa15	article	2015	L. Ambrosio, N. Gigli, A. Mondino, T. Rajala Ambrosio Luigi Gigli Nicola Mondino Andrea Rajala Tapio	Riemannian Ricci curvature lower bounds in metric measure spaces with \sigma-finite measure	Trans. Amer. Math. Soc.
AmGiSa14	article	2014	L. Ambrosio, N. Gigli, G. Savaré Ambrosio Luigi Gigli Nicola Savaré Giuseppe	Metric measure spaces with Riemannian Ricci curvature bounded from below	Duke Math. J.
AmMoSa19	article	2019	L. Ambrosio, A. Mondino, G. Savaré Ambrosio Luigi Mondino Andrea Savaré Giuseppe	Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces	Mem. Amer. Math. Soc.
BaSt10	article	2010	K. Bacher, K. Sturm Bacher Kathrin Sturm Karl-Theodor	Localization and tensorization properties of the curvature-dimension condition for metric measure spaces	J. Funct. Anal.
Ca14	article	2014	F. Cavalletti Cavalletti Fabio	Monge problem in metric measure spaces with Riemannian curvature-dimension condition	Nonlinear Anal.
CaMi21	article	2021	F. Cavalletti, E. Milman Cavalletti Fabio Milman Emanuel	The globalization theorem for the Curvature-Dimension condition	Invent. Math.
CaMo17_2	article	2017	F. Cavalletti, A. Mondino Cavalletti Fabio Mondino Andrea	Optimal maps in essentially non-branching spaces	Commun. Contemp. Math.
CaMo18	article	2018	F. Cavalletti, A. Mondino Cavalletti Fabio Mondino Andrea	Isoperimetric inequalities for finite perimeter sets under lower Ricci curvature bounds	Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.
ErKuSt15	article	2015	M. Erbar, K. Kuwada, K. Sturm Erbar Matthias Kuwada Kazumasa Sturm Karl-Theodor	On the equivalence of the entropic curvature-dimension condition and Bochner’s inequality on metric measure spaces	Invent. Math.
EvGa99	article	1999	L. Evans, W. Gangbo Evans Lawrence Craig Gangbo Wilfrid	Differential equations methods for the Monge-Kantorovich mass transfer problem	Mem. Amer. Math. Soc.
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Gi15	article	2015	N. Gigli Gigli Nicola	On the differential structure of metric measure spaces and applications	Mem. Amer. Math. Soc.
LoSi93	article	1993	L. Lovász, M. Simonovits Lovász László Simonovits Miklós	Random Walks in a Convex Body and an Improved Volume Algorithm	Random Structures Algorithms
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CoMa21	article	2021	P. Colli, D. Manini Colli Pierluigi Manini Davide	Sliding Mode Control for a Generalization of the Caginalp Phase-Field System	Appl. Math. Optim.
AnPaPoSe22	unpublished	2022	G. Antonelli, E. Pasqualetto, M. Pozzetta, D. Semola Antonelli Gioacchino Pasqualetto Enrico Pozzetta Marco Semola Daniele	Sharp isoperimetric comparison and asymptotic isoperimetry on non collapsed spaces with lower Ricci bounds	Preprint at arXiv:2201.04916v1
AnNaPo22	unpublished	2022	G. Antonelli, S. Nardulli, M. Pozzetta Antonelli Gioacchino Nardulli Stefano Pozzetta Marco	The isoperimetric problem via direct method in noncompact metric measure spaces with lower Ricci bounds	Preprint at arXiv:2201.03525v1
AnFoPo21	unpublished	2021	G. Antonelli, M. Fogagnolo, M. Pozzetta Antonelli Gioacchino Fogagnolo Mattia Pozzetta Marco	The isoperimetric problem on Riemannian manifolds via Gromov–Hausdorff asymptotic analysis	Preprint at arXiv:2101.12711v2
AnBrFoPo22	article	2022	G. Antonelli, E. Bruè, M. Fogagnolo, M. Pozzetta Antonelli Gioacchino Bruè Elia Fogagnolo Mattia Pozzetta Marco	On the existence of isoperimetric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth	Calc. Var. Partial Differential Equations
FoMa21	unpublished	2021	M. Fogagnolo, L. Mazzieri Fogagnolo Mattia Mazzieri Lorenzo	Minimising hulls, p-capacity and isoperimetric inequality on complete Riemannian manifolds	Preprint at arXiv:2012.09490v2
BaKr22	article	2023	Z. Balogh, A. Kristály Balogh Zoltán M. Kristály Alexandru	Sharp isoperimetric and Sobolev inequalities in spaces with nonnegative Ricci curvature	Math. Ann.
Ma12	book	2012	F. Maggi Maggi Francesco	Sets of finite perimeter and geometric variational problems
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GiPa20	book	2020	N. Gigli, E. Pasqualetto Gigli Nicola Pasqualetto Enrico	Lectures on Nonsmooth Differential Geometry
BrHa22	unpublished	2022	G. Brigati, I. Hartarsky Brigati Giovanni Hartarsky Ivailo	The normal contraction property for non-bilinear Dirichlet forms	Preprint at arXiv:2205.02928v1
Br22	unpublished	2022	G. Brigati Brigati Giovanni	Time averages for kinetic Fokker–Planck equations	Preprint at arXiv:2106.12801v2
AmDi14	article	2014	L. Ambrosio, S. Di Marino Ambrosio Luigi Di Marino Simone	Equivalent definitions of BV space and of total variation on metric measure spaces	J. Funct. Anal.
Di21	article	2021	D. Di Donato Di Donato Daniela	Intrinsic Differentiability and Intrinsic Regular Surfaces in Carnot Groups	Potential Anal.
CaMaMo18	article	2018	F. Cavalletti, F. Maggi, A. Mondino Cavalletti Fabio Maggi Francesco Mondino Andrea	Quantitative Isoperimetry à la Levy–Gromov	Comm. Pure Appl. Math.
AmGiSa13	article	2013	L. Ambrosio, N. Gigli, G. Savaré Ambrosio Luigi Gigli Nicola Savaré Giuseppe	Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces	Rev. Mat. Iberoamericana
Ra13	unpublished	2013	T. Rajala Rajala Tapio	Failure of the local-to-global property for \mathsf{CD}(K,N) spaces	Preprint at arXiv:1305.6436v1
BrGiHoZh21	unpublished	2021	C. Brena, N. Gigli, S. Honda, X. Zhu Brena Camillo Gigli Nicola Honda Shouhei Zhu Xingyu	Weakly non-collapsed \mathbf{RCD} spaces are strongly non-collapsed	Preprint at arXiv:2110.02420v1
Li07	article	2007	S. Lisini Lisini Stefano	Characterization of absolutely continuous curves in Wasserstein spaces	Calc. Var. Partial Differential Equations
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BaGeLeLu22	unpublished	2022	M. Bagnara, L. Gennaioli, G. Leccese, E. Luongo Bagnara Marco Gennaioli Luca Leccese Giacomo Maria Luongo Eliseo	On the Hausdorff Measure of \mathbb{R}^n with the Euclidean Topology	Preprint at arXiv:2203.03393v2
AmbrosioGigliSavare05	book	2005	L. Ambrosio, N. Gigli, G. Savaré Ambrosio Luigi Gigli Nicola Savaré Giuseppe	Gradient flows in metric spaces and in the space of probability measures
Bakry94	incollection	1994	D. Bakry Bakry Dominique	L'hypercontractivité et son utilisation en théorie des semigroupes
BakryEmery85	incollection	1985	D. Bakry, M. Émery Bakry D. Émery Michel	Diffusions hypercontractives
BochnakCosteRoy98	book	1998	J. Bochnak, M. Coste, M. Roy Bochnak Jacek Coste Michel Roy Marie-Françoise	Real algebraic geometry	Translated from the 1987 French original, Revised by the authors
CabreRosOtonSerra16	article	2016	X. Cabré, X. Ros-Oton, J. Serra Cabré Xavier Ros-Oton Xavier Serra Joaquim	Sharp isoperimetric inequalities via the ABP method	J. Eur. Math. Soc. (JEMS)
Cavalletti14	article	2014	F. Cavalletti Cavalletti Fabio	Decomposition of geodesics in the Wasserstein space and the globalization problem	Geom. Funct. Anal.
CavallettiMondino17	article	2017	F. Cavalletti, A. Mondino Cavalletti Fabio Mondino Andrea	Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds	Geom. Topol.
CintiGlaudoPratelliRosOtonSerra22	article	2022	E. Cinti, F. Glaudo, A. Pratelli, X. Ros-Oton, J. Serra Cinti E. Glaudo F. Pratelli A. Ros-Oton X. Serra J.	Sharp quantitative stability for isoperimetric inequalities with homogeneous weights	Trans. Amer. Math. Soc.
CiraoloLi22	article	2022	G. Ciraolo, X. Li Ciraolo Giulio Li Xiaoliang	An exterior overdetermined problem for Finsler N-Laplacian in convex cones	Calc. Var. Partial Differential Equations
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DipierroPoggesiValdinoci22	article	2022	S. Dipierro, G. Poggesi, E. Valdinoci Dipierro Serena Poggesi Giorgio Valdinoci Enrico	Radial symmetry of solutions to anisotropic and weighted diffusion equations with discontinuous nonlinearities	Calc. Var. Partial Differential Equations
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FogagnoloMazzieri20	unpublished	2020	M. Fogagnolo, L. Mazzieri Fogagnolo Mattia Mazzieri Lorenzo	Minimising hulls, p-capacity and isoperimetric inequality on complete Riemannian manifolds	Preprint at arXiv:2012.09490
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GriffithsHarris94	book	1994	P. Griffiths, J. Harris Griffiths Phillip Harris Joseph	Principles of algebraic geometry	Reprint of the 1978 original
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Johne21	unpublished	2021	F. Johne Johne Florian	Sobolev inequalities on manifolds with nonnegative Bakry-Émery Ricci curvature	Preprint at 2103.08496
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AntonelliPasqualettoPozzetta21	unpublished	2021	G. Antonelli, E. Pasqualetto, M. Pozzetta Antonelli Gioacchino Pasqualetto Enrico Pozzetta Marco	Isoperimetric sets in spaces with lower bounds on the Ricci curvature	Preprint at arXiv:2107.03124v2
AntonelliPasqualettoPozzetta22	article	2022	G. Antonelli, E. Pasqualetto, M. Pozzetta Antonelli Gioacchino Pasqualetto Enrico Pozzetta Marco	Isoperimetric sets in spaces with lower bounds on the Ricci curvature	Nonlinear Anal.
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CavallettiManini22	article	2022	F. Cavalletti, D. Manini Cavalletti Fabio Manini Davide	Isoperimetric inequality in noncompact MCP spaces	Proc. Am. Math. Soc.
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CiraoloCorso22	article	2022	G. Ciraolo, R. Corso Ciraolo Giulio Corso Rosario	Symmetry for positive critical points of Caffarelli–Kohn–Nirenberg inequalities	Nonlinear Anal.
DupaigneGentilZugmeyer21	unpublished	2021	L. Dupaigne, I. Gentil, S. Zugmeyer Dupaigne Louis Gentil Ivan Zugmeyer Simon	A conformal geometric point of view on the Caffarelli–Kohn–Nirenberg inequality	Preprint at arXiv:2111.15383
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NobiliViolo21	unpublished	2021	F. Nobili, I. Violo Nobili Francesco Violo Ivan Yuri	Rigidity and almost rigidity of Sobolev inequalities on compact spaces with lower Ricci curvature bounds	Preprint at arXiv:2108.02135
GigliNobili21	unpublished	2021	N. Gigli, F. Nobili Gigli Nicola Nobili Francesco	A first-order condition for the independence on p of weak gradients	Preprint at arXiv:2112.12849
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AkdemirCavallettiColinetMcCannSantarcangelo20	unpublished	2020	A. Akdemir, F. Cavalletti, A. Colinet, R. McCann, F. Santarcangelo Akdemir Afiny Cavalletti Fabio Colinet Andrew McCann Robert Santarcangelo Flavia	Independence of synthetic Curvature Dimension conditions on transport distance exponent	Preprint at arXiv:2007.10980
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Violo21	phdthesis	2021	I. Violo Violo Ivan Yuri	Functional and geometric rigidities of RCD spaces and bi-Lipschitz Reifenberg's theorem in metric spaces
MondinoSemola20	article	2020	A. Mondino, D. Semola Mondino Andrea Semola Daniele	Polya-Szego inequality and Dirichlet p-spectral gap for non-smooth spaces with Ricci curvature bounded below	J. Math. Pures Appl. (9)
Santambrogio15	book	2015	F. Santambrogio Santambrogio Filippo	Optimal transport for applied mathematicians
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