Andrea Pinamonti
[pinamonti]
Associate Professor, University of Trento
Email: andrea.pinamonti AT unitn.it
Available papers (70):
[plain text]- B. Han - A. Pinamonti - Z. Xu - K. Zambanini (Preprint)
Maz'ya - Shaposhnikova meet Bishop - Gromov (2024) - V. Franceschi - A. Pinamonti - G. Saracco - G. Stefani (J. London Math. Soc. (2))
The Cheeger problem in abstract measure spaces (2024) - A. Pinamonti - G. Speight - S. Zimmerman (Accepted Paper: J. Math. Pures Appl.)
Higher Order Whitney Extension and Lusin Approximation for Horizontal Curves in the Heisenberg Group (2024) - A. Pinamonti - F. Serra Cassano - K. Zambanini (Preprint)
On some intrinsic differentiability properties for Absolutely Continuous functions between Carnot groups and the Area formula (2024) - S. Eriksson-Bique - A. Pinamonti - G. Speight (Preprint)
Universal Differentiability Sets in Laakso Space (2024) - L. Capogna - G. Giovannardi - A. Pinamonti - S. Verzellesi (Math. Ann.)
The asymptotic $p$-Poisson equation as $p \to \infty$ in Carnot-Carathéodory spaces (2024) - A. Pinamonti - S. Verzellesi (Submitted Paper)
A characterization of horizontally totally geodesic hypersurfaces in Heisenberg groups (2024) - P. Lahti - A. Pinamonti - X. Zhou (Accepted Paper: J. Geom. Anal.)
BV functions and nonlocal functionals in metric measure spaces (2024) - G. Giovannardi - A. Pinamonti - S. Verzellesi (Preprint)
Curvature estimates for minimal hypersurfaces in the Heisenberg group (2024) - G. Giovannardi - A. Pinamonti - J. Pozuelo - S. Verzellesi (Adv. Math.)
The prescribed mean curvature equation for $t$-graphs in the Sub-Finsler Heisenberg group $\mathbb{H}^n$ (2024) - M. Di Marco - A. Pinamonti - D. Vittone - K. Zambanini (Preprint)
Stepanov Differentiability Theorem for intrinsic graphs in Heisenberg groups (2024) - L. Caravenna - E. Marconi - A. Pinamonti (Accepted Paper: SIAM J. Math. Anal.)
Hölder regularity of continuous solutions to balance laws and applications in the Heisenberg group (2024) - K. Fässler - A. Pinamonti - P. Wald (Accepted Paper: Ann. Sc. Norm. Super. Pisa Cl. Sci. (5))
Kakeya Maximal inequality in the Heisenberg group (2023) - A. Pinamonti - S. Verzellesi - C. Wang (Bull. Lond. Math. Soc.)
The Aronsson Equation for Absolute Minimizers of Supremal Functionals in Carnot-Carathéodory Spaces (2023) - F. Essebei - A. Pinamonti - S. Verzellesi (Adv. Calc. Var.)
Integral representation of local functionals depending on vector fields (2023) - A. Pinamonti - G. Stefani - S. Verzellesi (Submitted Paper)
Lipschitz approximation of almost $\mathbb G$-perimeter minimizing boundaries in plentiful groups (2023) - S. Borghini - M. Fogagnolo - A. Pinamonti (Accepted Paper: ARMA)
The equality case in the substatic Heintze-Karcher inequality (2023) - C. Brena - A. Pinamonti (Accepted Paper: Commun. Anal Geom)
Nguyen's approach to Sobolev spaces in metric measure spaces with unique tangents (2023) - A. Pinamonti - S. Don - L. Lussardi - G. Treu (Nonlinear Analysis)
Lipschitz minimizers for a class of integral functionals under the bounded slope condition (2022) - A. Maione - A. Pinamonti - F. Serra Cassano (SIAM J. Math. Anal.)
Γ-Convergence for Functionals Depending on Vector Fields. II. Convergence of Minimizers (2022) - G. De Philippis - A. Marchese - A. Merlo - A. Pinamonti - F. Rindler (Submitted Paper)
On the converse of Pansu's Theorem (2022) - P. Lahti - A. Pinamonti - X. Zhou (Accepted Paper: Nonlinear Analysis)
A characterization of BV and Sobolev functions via nonlocal functionals in metric spaces (2022) - M. Capolli - A. Pinamonti - G. Speight (Accepted Paper: Communications in Contemporary Mathematics)
Maximal Directional Derivatives in Laakso Space (2022) - C. Brena - E. Pasqualetto - A. Pinamonti (Accepted Paper: Communications in Contemporary Mathematics)
Sobolev and BV functions on $\mathrm{RCD}$ spaces via the short-time behaviour of the heat kernel (2022) - A. Carbotti - S. Don - D. Pallara - A. Pinamonti (ESAIM cocv)
Local minimizers and Gamma-convergence for nonlocal perimeters in Carnot Groups (2021) - M. Capolli - A. Pinamonti - G. Speight (Accepted Paper: Calc. Var. Partial Differential Equations)
A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group (2021) - A. Maalaoui - A. Pinamonti - G. Speight (Accepted Paper: Journal d'Analyse Mathématique)
Function Spaces via Fractional Poisson Kernel on Carnot Groups and Applications (2021) - S. Biagi - A. Pinamonti - E. Vecchi (Accepted Paper: Journal Geometric Analysis)
Sublinear equations driven by Hormander operators (2021) - K. Fässler - A. Pinamonti (Accepted Paper: Math. Zeit.)
Loomis-Whitney inequalities in Heisenberg groups (2021) - A. Pinamonti - G. Stefani (Accepted Paper: Proc. Amer. Math. Soc.)
Existence and uniqueness theorems for some semi-linear equations on locally finite graphs (2021) - M. Fogagnolo - A. Pinamonti (Accepted Paper: J. Math. Pures Appl.)
New integral estimates in substatic Riemannian manifolds and the Alexandrov Theorem (2021) - M. Capolli - A. Pinamonti - G. Speight (Accepted Paper: Indiana Univ. Math. J.)
A $C^k$ Lusin approximation theorem for real-valued functions on Carnot Groups (2021) - A. Pinamonti - T. Adamowicz - A. Kijowski - B. Warhurst (Accepted Paper: Nonlinear Analysis)
Variational approach to the asymptotic mean-value property for the p-Laplacian on Carnot groups (2020) - A. Maione - A. Pinamonti - F. Serra Cassano (J. Math. Pures Appl.)
$\Gamma$-convergence for functionals depending on vector fields I. Integral representation and compactness. (2020) - S. Biagi - A. Pinamonti - E. Vecchi (Accepted Paper: NoDEA)
Pohozaev-type identities for differential operators driven by homogeneous vector fields (2020) - B. Pass - A. Pinamonti - M. Vedovato (Accepted Paper: Methods and Applications of Analysis)
Multi-marginal optimal transport on the Heisenberg group (2020) - M. Fogagnolo - A. Pinamonti (Accepted Paper: Mathematics in Engineering)
Strict starshapedness of solutions to the horizontal p-Laplacian in the Heisenberg group (2020) - A. Pinamonti - T. Orponen - K. Fässler (Preprint)
Planar incidences and geometric inequalities in the Heisenberg group (2020) - V. Magnani - A. Pinamonti - G. Speight (Ann. Mat. Pura Appl.)
Porosity and differentiability of Lipschitz maps from stratified groups to Banach homogeneous groups (2019) - A. Pinamonti - G. Speight (Accepted Paper: Israel Journal of Mathematics)
Universal Differentiability Sets in Carnot Groups of Arbitrarily High Step (2019) - F. Ferrari - M. Miranda Jr - D. Pallara - A. Pinamonti - Y. Sire (Discrete Contin. Dyn. Syst. Ser. S)
Fractional Laplacians, perimeters and heat semigroups in Carnot groups (2018) - A. Maalaoui - A. Pinamonti (Accepted Paper: Nonlinear Analysis)
Interpolations and Fractional Sobolev Spaces in Carnot Groups (2018) - A. Pinamonti - G. Speight - S. Zimmerman (Accepted Paper: Trans AMS)
A $C^m$ Whitney extension theorem for horizontal curves in the Heisenberg group (2018) - S. Dipierro - A. Pinamonti - E. Valdinoci (Accepted Paper: J. Funct. Anal.)
Rigidity results in Diffusion Markov Triples (2018) - M. Fogagnolo - L. Mazzieri - A. Pinamonti (Ann. Inst. H. Poincaré Anal. Non Linéaire)
Geometric aspects of p-capacitary potentials (2018) - A. Pinamonti - M. Squassina - E. Vecchi (Accepted Paper : Journal of Mathematical Analysis and Applications)
The Maz'ya-Shaposhnikova limit in the magnetic setting (2017) - A. Fiscella - A. Pinamonti - E. Vecchi (Accepted Paper: Journal of Differential Equations)
Multiplicity results for magnetic fractional problems (2017) - H. M. Nguyen - A. Pinamonti - M. Squassina - E. Vecchi (Advances in Nonlinear Analysis)
New characterizations of magnetic Sobolev spaces (2017) - E. Le Donne - A. Pinamonti - G. Speight (Accepted Paper: J. Math. Pures Appl.)
Universal differentiability sets and maximal directional derivatives in Carnot groups (2017) - S. Dipierro - A. Pinamonti - E. Valdinoci (Accepted Paper: Advances in Nonlinear Analysis)
Classification of stable solutions for boundary value problems with nonlinear boundary conditions on Riemannian manifolds with nonnegative Ricci curvature (2017) - S. Dipierro - A. Pinamonti - E. Valdinoci (Accepted Paper: IMRN)
Rigidity results for elliptic boundary value problems: stable solutions for quasilinear equations with Neumann or Robin boundary conditions (2017) - H. M. Nguyen - A. Pinamonti - M. Squassina - E. Vecchi (Accepted Paper: Complex Variables and Elliptic Equations.)
Some characterizations of magnetic Sobolev spaces (2017) - A. Pinamonti (Accepted Paper: Elec. Journ. of Diff. Eqns)
Multiple solutions for possibly degenerate equations in divergence form (2016) - A. Pinamonti - G. Speight (Accepted Paper: Journal of Geometric Analysis)
Porosity, Differentiability and Pansu's Theorem (2016) - 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. )
Structure of Porous Sets in Carnot Groups (2016) - A. Pinamonti - G. Speight (Accepted paper: Math.Ann.)
A Measure Zero Universal Differentiability Set in the Heisenberg Group (2015) - L. Ambrosio - A. Pinamonti - G. Speight (Accepted paper: J. Reine Angew. Math.)
Weighted Sobolev Spaces on Metric Measure Spaces (2015) - A. Pinamonti - F. Serra Cassano - G. Treu - D. Vittone (Ann. Sc. Norm. Super. Pisa Cl. Sci. (5))
BV Minimizers of the area functional in the Heisenberg group under the bounded slope condition (2015) - S. Dipierro - A. Pinamonti (Accepted Paper: Communications in Contemporary Mathematics)
Symmetry results for stable and monotone solutions to fibered systems of PDEs (2014) - F. Ferrari - A. Pinamonti (Accepted Paper: Potential Analysis)
Characterization by asymptotic mean formulas of q-harmonic functions in Carnot groups (2014) - A. Farina - M. Novaga - A. Pinamonti (NoDEA Nonlinear Differential Equations Appl.)
Symmetry results for nonlinear elliptic operators with unbounded drift (2014) - L. Ambrosio - A. Pinamonti - G. Speight (Advances in Mathematics)
Tensorization of Cheeger energies, the space $H^{1,1}$ and the area formula for graphs (2014) - G. Citti - M. Manfredini - A. Pinamonti - F. Serra Cassano (Accepted Paper: Calc. Var. Partial Differential Equations )
Smooth approximation for intrinsic Lipschitz functions in the Heisenberg group (2013) - S. Dipierro - A. Pinamonti (Accepted Paper: Journal of Differential Equations)
A geometric inequality and a symmetry result for elliptic systems involving the fractional Laplacian (2013) - A. Pinamonti - E. Valdinoci (Accepted Paper: Rend.Istit.Mat.Univ.Trieste)
A Lewy-Stampacchia Estimate for variational inequalities in the Heisenberg group (2013) - G. Citti - M. Manfredini - A. Pinamonti - F. Serra Cassano (Accepted Paper: JMPA)
Poincaré-type inequality for Lipschitz continuous vector fields (2013) - A. Cesaroni - M. Novaga - A. Pinamonti (Commun. Pure Appl. Anal.)
One-dimensional symmetry for semilinear equations with unbounded drift (2013) - A. Pinamonti - E. Valdinoci (Accepted Paper: Ann. Acad.Sci.Fenn.Math)
A Geometric inequality for stable solutions of semilinear elliptic problems in the Engel group (2012) - F. Ferrari - A. Pinamonti (Accepted paper: Analysis and Geometry in Metric Spaces)
Nonexistence results for semilinear equations in Carnot groups (2012)
Speaker:
- 9 sep 2024 - 13 sep 2024: Summer school in fluid dynamics and nonlinear PDEs
- 21 may 2024 - 24 may 2024: Workshop: Synthetic Curvature Bounds for Non-Smooth Spaces: Beyond Finite Dimension
- 20 feb 2024 - 22 feb 2024: Problems in potential theory of nonlinear elliptic PDEs
- 29 may 2023 - 2 jun 2023: Geometric Measure Theory, Bressanone 2023
- 6 oct 2021 - 8 oct 2021: 9th GAMM-Seminar on Analysis of partial differential equations
- 10 feb 2020 - 12 feb 2020: Dispersive and subelliptic PDEs
- 23 may 2019 - 24 may 2019: Variational and PDE problems in Geometric Analysis II
- 11 jun 2018 - 15 jun 2018: Geometric Measure Theory in Verona
- 31 may 2018 - 1 jun 2018: Variational and PDE problems in Geometric Analysis
- 20 jun 2016 - 23 jun 2016: Singular Phenomena and Singular Geometries
- 14 apr 2016 - 14 apr 2016: Workshop on Calculus of Variations and its Applications
Organizer:
- 2 sep 2024 - 4 sep 2024: Three days between analysis and geometry in Trento (third edition)
- 9 jun 2024 - 14 jun 2024: 13th School on Analysis and Geometry in Metric Spaces
- 12 feb 2024 - 16 feb 2024: EUSCOTHA: EUregio School on COntrol THeory and Applications
- 29 sep 2023 - 29 sep 2023: Brescia - Trento nonlinear day, 4° edition
- 28 aug 2023 - 30 aug 2023: Three days between Analysis and Geometry in Trento - 2° edition (New fundings available for Postdocs!!)
- 3 jul 2023 - 7 jul 2023: Geometric measure theory and nonlinear PDE
- 20 feb 2023 - 22 feb 2023: New Trends in Geometric & Variational PDEs
- 29 aug 2022 - 31 aug 2022: Three days between Analysis and Geometry in Trento
- 30 jun 2022 - 1 jul 2022: Geometric Analysis in Metric Measure Spaces
- 31 may 2019 - 31 may 2019: Brescia - Trento Nonlinear Day - Ed. III
- 25 may 2018 - 25 may 2018: Brescia-Trento Nonlinear Day Ed. II
- 26 may 2017 - 26 may 2017: Brescia-Trento Nonlinear Days