Pinamonti, A., Speight, G.: A measure zero universal differentiability set … Andrea Pinamonti currently works at the Department of Mathematics, Università degli Studi di Trento. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): (Communicated by Martino Bardi) Abstract. Or sign in with one of these services. Download. Workshop organized by: A. Pinamonti (Università di Trento) M. Squassina (Università Cattolica del Sacro Cuore) Contacts={marco.squassina@unicatt.it, andrea.pinamonti@unitn.it} Nguyen Lam. Let be an open bounded subset of Rn.Then for every ˆ>0 and 0 < <( ˆ) := a 1c 1C 1=p 1 ˆ 1 p + a 2cq q q 1C q p 1 ˆ q p 1; problem (1.1) has at least two weak solutions one of which satis es Università degli Studi Trento 38123 Povo (TN) Tel +39 04 61/281508-1625-1701-3786 dept.math [at] unitn.it. Pures Appl. Assume (A1){(A11) are satis ed. Fractional Laplacians, perimeters and heat semigroups in Carnot groups Fausto Ferrari1, Michele Miranda Jr 2, Diego Pallara 3, Andrea Pinamonti 4, Yannick Sire 5 Abstract We de ne and study the fractional Laplacian and the fractional perimeter of a set in Carnot groups and we compare the perimeter with the asymptotic behaviour of the fractional heat semi- Planar incidences and geometric inequalities in the Heisenberg group, Lipschitz minimizers for a class of integral functionals under the bounded slope condition, Pohozaev-type identities for differential operators driven by homogeneous vector fields, Multi-marginal optimal transport on the Heisenberg group, Strict starshapedness of solutions to the horizontal p-Laplacian in the Heisenberg group, Porosity and differentiability of Lipschitz maps from stratified groups to Banach homogeneous groups, Universal Differentiability Sets in Carnot Groups of Arbitrarily High Step, Fractional Laplacians, perimeters and heat semigroups in Carnot groups, Interpolations and Fractional Sobolev Spaces in Carnot Groups, A $C^m$ Whitney extension theorem for horizontal curves in the Heisenberg group, Rigidity results in Diffusion Markov Triples, Geometric aspects of p-capacitary potentials, The Maz'ya-Shaposhnikova limit in the magnetic setting, Multiplicity results for magnetic fractional problems, New characterizations of magnetic Sobolev spaces, Universal differentiability sets and maximal directional derivatives in Carnot groups, Classification of stable solutions for boundary value problems with nonlinear boundary conditions on Riemannian manifolds with nonnegative Ricci curvature, Rigidity results for elliptic boundary value problems: stable solutions for quasilinear equations with Neumann or Robin boundary conditions, Some characterizations of magnetic Sobolev spaces, Multiple solutions for possibly degenerate equations in divergence form, Porosity, Differentiability and Pansu's Theorem, Magnetic BV functions and the Bourgain-Brezis-Mironescu formula, Structure of Porous Sets in Carnot Groups, A Measure Zero Universal Differentiability Set in the Heisenberg Group, Weighted Sobolev Spaces on Metric Measure Spaces, BV Minimizers of the area functional in the Heisenberg group under the bounded slope condition, Symmetry results for stable and monotone solutions to fibered systems of PDEs, Characterization by asymptotic mean formulas of q-harmonic functions in Carnot groups, Symmetry results for nonlinear elliptic operators with unbounded drift, Tensorization of Cheeger energies, the space $H^{1,1}$ and the area formula for graphs, Smooth approximation for intrinsic Lipschitz functions in the Heisenberg group, A geometric inequality and a symmetry result for elliptic systems involving the fractional Laplacian, A Lewy-Stampacchia Estimate for variational inequalities in the Heisenberg group, Poincaré-type inequality for Lipschitz continuous vector fields, One-dimensional symmetry for semilinear equations with unbounded drift, A Geometric inequality for stable solutions of semilinear elliptic problems in the Engel group, Nonexistence results for semilinear equations in Carnot groups, Variational and PDE problems in Geometric Analysis II, Variational and PDE problems in Geometric Analysis, Singular Phenomena and Singular Geometries, Workshop on Calculus of Variations and its Applications. 100% of your contribution will fund improvements and new initiatives to benefit arXiv's global scientific community. Dao Nguyen Anh Department of Mathematics and Statistics, Ton Duc Thang University Verified email at tdt.edu.vn. Andrea Pinamonti: postponed: MaD 380: 09-Mar-2015 (Mon) Andrea Schioppa (ETH) Vector fields on metric measure spaces, and 1-rectifiable structure: MaD 380: 16-Mar-2015 (Mon) Gareth Speight (SNS Pisa) Differentiability of Lipschitz Functions and Curves in Carnot Groups: MaD 380: 23-Mar-2015 (Mon) Sean Li (Chicago) 1154 A. Pinamonti et al. The ones marked, Journal of Differential Equations 255 (1), 85-119, G Citti, M Manfredini, A Pinamonti, FS Cassano, Calculus of Variations and Partial Differential Equations 49 (3), 1279-1308, Advances in Calculus of Variations 12 (3), 225-252, HM Nguyen, A Pinamonti, M Squassina, E Vecchi, Advances in Nonlinear Analysis 7 (2), 227-245, Journal of Differential Equations 263 (8), 4617-4633, Journal of Mathematical Analysis and Applications 449 (2), 1152-1159, Journal de Mathématiques Pures et Appliquées 121, 83-112, F Ferrari, M Miranda Jr, D Pallara, A Pinamonti, Y Sire, Discrete & Continuous Dynamical Systems-S 11 (3), 477, Annales de l'Institut Henri Poincaré C, Analyse non linéaire 36 (4), 1151-1179, Communications in Contemporary Mathematics 17 (04), 1450035, Journal für die reine und angewandte Mathematik 2019 (746), 39-65, Advances in Nonlinear Analysis 8 (1), 1035-1042, International Mathematics Research Notices 2020 (5), 1366-1384, A Pinamonti, FS Cassano, G Treu, D Vittone, New articles related to this author's research, Full Professor, Catholic University of Sacred Hearth, Professore di Analisi Matematica, Università di Trento, Assistant Professor, University of Campinas, Dipartimento di Matematica, Università di Pisa, University of Jyväskylä and University of Pisa, Université de Picardie J. Verne, Amiens (France), Universitaet Bayreuth- Lehrstuhl Mathematik VIII, A geometric inequality and a symmetry result for elliptic systems involving the fractional Laplacian, Smooth approximation for intrinsic Lipschitz functions in the Heisenberg group, Magnetic BV-functions and the Bourgain–Brezis–Mironescu formula, New characterizations of magnetic Sobolev spaces, Multiplicity results for magnetic fractional problems, The Maz'ya–Shaposhnikova limit in the magnetic setting, Tensorization of Cheeger energies, the space H1, 1 and the area formula for graphs, Universal differentiability sets and maximal directional derivatives in Carnot groups, A measure zero universal differentiability set in the Heisenberg group, Fractional Laplacians, perimeters and heat semigroups in Carnot groups, Geometric aspects of p-capacitary potentials, Symmetry results for stable and monotone solutions to fibered systems of PDEs, A Lewy-Stampacchia estimate for variational inequalities in the Heisenberg group, A geometric inequality for stable solutions of semilinear elliptic problems in the Engel group, Interpolations and fractional Sobolev spaces in Carnot groups, Weighted Sobolev spaces on metric measure spaces, Classification of stable solutions for boundary value problems with nonlinear boundary conditions on Riemannian manifolds with nonnegative Ricci curvature, Rigidity results for elliptic boundary value problems: Stable solutions for quasilinear equations with Neumann or Robin boundary conditions, BV minimizers of the area functional in the Heisenberg group under the bounded slope condition, Some characterizations of magnetic Sobolev spaces. Andrea Pinamonti and Gareth Speight University of Trento and University of Cincinnati Warwick GMT 2017 A. Pinamonti and G. Speight UDS in Carnot Groups Warwick GMT 2017 1 / 35. Integral representation and compactness Mercoledì 10 luglio 2019 alle ore 14:00 in aula 1BC50 0461 283298 andrea.pinamonti [at] unitn [dot] it. Andrea Pinamonti. Sign in with Facebook. Mathematics in Engineering, 2021, 3(6): 1-15. doi: 10.3934/mine.2021046 $\Gamma$-convergence for functionals depending on vector fields I. Integral representation and compactness. Math. . 145 (2017), 5435-5449 MSC (2010): Primary 58J05, 53B21, 53C21, 35R01, 35J45 ... Serena Dipierro and Andrea Pinamonti, A geometric inequality and a symmetry result for elliptic systems involving the fractional Laplacian, J. Professore associato Dipartimento di Matematica. The aim of this note is to survey recent results con tained in [ 30 – 33 , 39 ], where the authors Giovanna Citti, Maria Manfredini, Andrea Pinamonti, and Francesco Serra Cassano, Poincaré-type inequality for Lipschitz continuous vector fields, J. 2 (2020) 581–601. Andrea Pinamonti; Verbali (vai a Aree Riservate - è necessario loggarsi a myUnitn) Dipartimento di Matematica. Andrea Pinamonti, University of Trento Gareth Speight, University of Cincinnati Scott Zimmerman*, The Ohio State University at Marion (1163-30-535) 1:30 p.m. No students known. Strict starshapedness of solutions to the horizontal p-Laplacian in the Heisenberg group[J]. Abbreviation of Illinois Journal of Mathematics. Sign in with Twitter Math. Via Sommarive, 14 - 38123 Povo tel. hoai-minh nguyen, andrea pinamonti, marco squassina, and eugenio vecchi Abstract. Multi-marginal optimal transport on the Heisenberg group, with Andrea Pinamonti and Mattia Vedovato. Staff Dipartimento di Matematica. Mattia Fogagnolo, Andrea Pinamonti. Andrea Pinamonti Università degli Studi di Trento Gareth Speight University of Cincinnati DOI ... Preiss, D., Speight, G.: Differentiability of Lipschitz functions in Lebesgue null sets, Inven. Advisor 1: Francesco Serra Cassano. Dissertation: Mathematics Subject Classification: 49—Calculus of variations and optimal control . Acad. Their, This "Cited by" count includes citations to the following articles in Scholar. The aim of the project is to shed light on some relevant geometric aspects arising in potential theory. Sort by citations Sort by year Sort by title. Articles Cited by Co-authors. If you have additional information or corrections regarding this mathematician, please use the update form. 11: 2012: Interpolations and fractional Sobolev spaces in Carnot groups. States that Every Lipschitz function f: Rn →Rm is differentiable Lebesgue almost.... ( Università di Trento the following articles in Scholar TN ) Tel +39 04 dept.math. 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