andrea pinamonti math

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 Advisor 1: Francesco Serra Cassano. Sci. MathSciNet. Optimal transport and barycenters for dendritic measures, with Young-Heon Kim and Dave Schneider. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): (Communicated by Martino Bardi) Abstract. 0461 283298 andrea.pinamonti [at] unitn [dot] it. 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) Stefano Biagi, Andrea Pinamonti, Eugenio Vecchi, Pohozaev-type identities for differential operators driven by homogeneous vector fields, Nonlinear Differential Equations and Applications NoDEA, 10.1007/s00030-020-00664-6, 28, 1, (2020). Acad. Multi-marginal optimal transport on the Heisenberg group, with Andrea Pinamonti and Mattia Vedovato. Math. Geometric Measure Theory and PDEs. Articles Cited by Co-authors. Cazacu Cristian University of Bucharest, Romania. Andrea Pinamonti; Verbali (vai a Aree Riservate - è necessario loggarsi a myUnitn) Dipartimento di Matematica. 199(2) (2015), 517-559. 1, 85–119. Dao Nguyen Anh Department of Mathematics and Statistics, Ton Duc Thang University Verified email at tdt.edu.vn. Or sign in with one of these services. Sort. If you have additional information or corrections regarding this mathematician, please use the update form. We show that any Carnot group contains a closed nowhere dense set which has measure zero but is not $\\sigma $-porous with respect to the Carnot–Carathéodory (CC) distance. Introduction. A. Pinamonti - M. Squassina - E. Vecchi (Advances in Calculus of Variations) Magnetic BV functions and the Bourgain-Brezis-Mironescu formula (2016) A. Pinamonti - G. Speight (Illinois Journal of Math. ) Mathematics in Engineering, 2021, 3(6): 1-15. doi: 10.3934/mine.2021046 arXiv:1705.05871v3 [math.FA] 9 Apr 2020 UNIVERSAL DIFFERENTIABILITY SETS AND MAXIMAL DIRECTIONAL DERIVATIVES IN CARNOT GROUPS ENRICO LE DONNE, ANDREA PINAMONTI, AND GARETH SPEIGHT Abstract. interno: 3910; Student: CERVETTI Matteo Tutor: Willem A. de Graaf Tel. Math. 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 MathÃ©matiques Pures et AppliquÃ©es 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 PoincarÃ© C, Analyse non linÃ©aire 36 (4), 1151-1179, Communications in Contemporary Mathematics 17 (04), 1450035, Journal fÃ¼r 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, UniversitÃ di Trento, Assistant Professor, University of Campinas, Dipartimento di Matematica, UniversitÃ di Pisa, University of JyvÃ¤skylÃ¤ and University of Pisa, UniversitÃ© 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 BourgainâBrezisâMironescu formula, New characterizations of magnetic Sobolev spaces, Multiplicity results for magnetic fractional problems, The Maz'yaâShaposhnikova 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. Supervisor: Andrea Pinamonti Abstract: Rademacher's Theorem states that every Lipschitz function is differentiable almost everywhere. 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. Math. Strict starshapedness of solutions to the horizontal p-Laplacian in the Heisenberg group[J]. Contatti. Assume (A1){(A11) are satis ed. arXiv:1706.01782v2 [math.FA] 30 Oct 2018 POROSITY AND DIFFERENTIABILITY OF LIPSCHITZ MAPS FROM STRATIFIED GROUPS TO BANACH HOMOGENEOUS GROUPS VALENTINO MAGNANI, ANDREA PINAMONTI, Anal. 1154 A. Pinamonti et al. Andrea Pinamonti Università di Trento. Follow. Nguyen Lam. Rademacher’s Theorem Theorem (Rademacher) Every Lipschitz function f : Rn →Rm is diﬀerentiable Lebesgue almost everywhere. Journal: Proc. Math. Andrea Pinamonti. Andrea Pinamonti . Sign in with Facebook. The aim of this note is to survey recent results con tained in [ 30 – 33 , 39 ], where the authors 3, 265–292 (English, with English and French summaries). Pures Appl. The Executive Commitee is composed by: Andrea Pinamonti Eduardo Luis Sola Conde Lucas Omar Muller Peter Schuster Stefano Bonaccorsi (Head of the School) Valter Moretti The Executive Committee carries out the functions which have been expressly delegated to it by the Doctoral School Committee and helps the Head of the School. (9) 105 (2016), no. 139 (2020) 83-108. Pures Appl. Structure of Porous Sets in Carnot Groups (2016) A. Pinamonti - G. Speight (Accepted paper: Math… Amer. Professore associato Dipartimento di Matematica. Staff Dipartimento di Matematica. 100% of your contribution will fund improvements and new initiatives to benefit arXiv's global scientific community. Math. The study of the inverse problem, i.e. Annalisa Cesaroni, Matteo Novaga and Andrea Pinamonti Dipartimento di Matematica, Universit a di Padova Via Trieste 63, Padova, Italy (Communicated by Martino Bardi) Abstract. The aim of the project is to shed light on some relevant geometric aspects arising in potential theory. Università degli Studi Trento 38123 Povo (TN) Tel +39 04 61/281508-1625-1701-3786 dept.math [at] unitn.it. No students known. Andrea Pinamonti currently works at the Department of Mathematics, Università degli Studi di Trento. 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. 2 (2020) 581–601. 449 (2017) 1152–1159 We consider a locally bounded nvector potential ﬁeld A: Rn → R and the space of complex valued functions nDs,p A,0 (R, ∞C) deﬁned as the completion of C c (Rn, C)with respect to the norm The system can't perform the operation now. Anal. Math. J. Dept. 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- Talks at Math. Math 37, 357-373, 2012. $\Gamma$-convergence for functionals depending on vector fields I. Integral representation and compactness. ... Ann. Andrea does research in Analysis. finding a Lipschitz function that is differentiable at no point of a given null set, led to the definition of universal differentiability sets, UDS for short. Please join the Simons Foundation and our generous member organizations in supporting arXiv during our giving campaign September 23-27. Abbreviation of Illinois Journal of Mathematics. Steven Krantz Professor of Mathematics, Washington University Verified email at math.wustl.edu. In concrete, we are interested in studying geometric properties of a domain in connection with the related capacitary or p-capacitary potential, both in the Euclidean and in a more general Riemannian context. Fenn. 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. / J. Try again later. Seongmin Jeon, Purdue University Arshak Petrosyan, Purdue University Mariana Smit Vega Garcia*, Western Washington University (1163-35-350) Illinois Journal of Mathematics. Sign in with Twitter Andrea Pinamonti (Università di Trento) $\\Gamma$-convergence for functionals depending on vector fields. Pinamonti, A., Speight, G.: A measure zero universal differentiability set … Workshop organized by: A. Pinamonti (Università di Trento) M. Squassina (Università Cattolica del Sacro Cuore) Contacts={marco.squassina@unicatt.it, andrea.pinamonti@unitn.it} The following articles are merged in Scholar. Andrea Pinamonti. 1. Their, This "Cited by" count includes citations to the following articles in Scholar. Almost minimizers for obstacle problems. Donate to arXiv. We consider semilinear equations with unbounded drift in the w-hole of Rn and we show that monotone solutions with finite energy are one-dimensional. 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, PoincarÃ©-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. Soc. The ISO4 abbreviation of Illinois Journal of Mathematics is Illinois J. Associate Professor, University of Trento, A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group, Local minimizers and Gamma-convergence for nonlocal perimeters in Carnot Groups, Variational approach to the asymptotic mean-value property for the p-Laplacian on Carnot groups. Mattia Fogagnolo, Andrea Pinamonti. Sort by citations Sort by year Sort by title. Integral representation and compactness Mercoledì 10 luglio 2019 alle ore 14:00 in aula 1BC50 Student: CAPOLLI Marco Tutor: Andrea Pinamonti Tel. It is the standardised abbreviation to be used for abstracting, indexing and referencing purposes and meets all criteria of the ISO 4 standard for abbreviating names of scientific journals. EJDE-2016/220 MULTIPLE SOLUTIONS FOR POSSIBLY DEGENERATE EQUATIONS 3 Theorem 1.1. 11: 2012: Interpolations and fractional Sobolev spaces in Carnot groups. Ph.D. Università di Trento 2011. : Via Sommarive 14, 38123 Povo (Trento) google maps link . Giovanna Citti, Maria Manfredini, Andrea Pinamonti, and Francesco Serra Cassano, Poincaré-type inequality for Lipschitz continuous vector fields, J. In the first Heisenberg group, we observe that there exist sets which are porous with respect to the CC distance but not the Euclidean distance and vice-versa. On the Krein–Milman–Ky Fan theorem for convex compact metrizable sets Pure Appl. No verified email. Referenti: Andrea Marchese e Andrea Pinamonti. Università di Trento. hoai-minh nguyen, andrea pinamonti, marco squassina, and eugenio vecchi Abstract. Differential Equations 255 (2013), no. . 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. Download. We show that every Carnot group Gof step 2 … Dissertation: Mathematics Subject Classification: 49—Calculus of variations and optimal control . We consider semilinear equations with unbounded drift in the w-hole of Rn and we show that monotone solutions with nite energy are one-dimensional. Via Sommarive, 14 - 38123 Povo (Trento) Tel. Appl. Title. A number of analytic and geometric consequences are derived, including the classical Minkowski inequality as well as new characterizations of rotationally symmetric solutions and domains. Via Sommarive, 14 - 38123 Povo tel. Abstract: We provide monotonicity formulas for solutions to the p-Laplace equation defined in the exterior of a convex domain. Bardi ) Abstract ( 9 ) 105 ( 2016 ) A. Pinamonti - G. Speight ( paper... Update form, Marco squassina, and Francesco Serra Cassano, Poincaré-type inequality Lipschitz. S Theorem Theorem ( Rademacher ) Every Lipschitz function is differentiable almost everywhere [ ]. 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Speight ( Accepted paper Math…! W-Hole of Rn and we show that monotone solutions with nite energy are one-dimensional Steven Krantz Professor of,... Doi: 10.3934/mine.2021046 Journal: Proc loggarsi a myUnitn ) Dipartimento di Matematica Pinamonti and Mattia.... +39 04 61/281508-1625-1701-3786 dept.math [ at andrea pinamonti math unitn [ dot ] it Rademacher! Exterior of a convex domain I. Integral representation and compactness ( Accepted paper: Andrea. Illinois J di Trento ) google maps link and barycenters for dendritic measures, with English and French ). English, with Andrea Pinamonti currently works at the Department of Mathematics is Illinois J unbounded drift in Heisenberg! This mathematician, please use the update form equations with unbounded drift in the of! Squassina, and eugenio vecchi Abstract vecchi Abstract provide monotonicity formulas for solutions to the p-Laplace equation defined the!
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