A. Pinamonti, E. Valdinoci:
A Geometric inequality for stable solutions of semilinear elliptic problems in the Engel group
Ann. Acad.Sci.Fenn.Math (Accepted Paper) N. 37, p. 357-373, 2012
F. Ferrari, A. Pinamonti:
Nonexistence results for semilinear equations in Carnot groups
Analysis and Geometry in Metric Spaces (Accepted paper) p. 130-146, 2012
G. Citti, M. Manfredini, A. Pinamonti, F. Serra Cassano:
Smooth approximation for intrinsic Lipschitz functions in the Heisenberg group
Calc. Var. Partial Differential Equations (Accepted Paper) 2013
S. Dipierro, A. Pinamonti:
A geometric inequality and a symmetry result for elliptic systems involving the fractional Laplacian
Journal of Differential Equations (Accepted Paper) 2013
A. Pinamonti, E. Valdinoci:
A Lewy-Stampacchia Estimate for variational inequalities in the Heisenberg group
Rend.Istit.Mat.Univ.Trieste (Accepted Paper) Vol. 45, p. 23--45, 2013
G. Citti, M. Manfredini, A. Pinamonti, F. Serra Cassano:
Poincaré-type inequality for Lipschitz continuous vector fields
JMPA (Accepted Paper) 2013
A. Cesaroni, M. Novaga, A. Pinamonti:
One-dimensional symmetry for semilinear equations with unbounded drift
Commun. Pure Appl. Anal. Vol. 12, N. 5, p. 2203-2211, 2013
S. Dipierro, A. Pinamonti:
Symmetry results for stable and monotone solutions to fibered systems of PDEs
Communications in Contemporary Mathematics (Accepted Paper) 2014
F. Ferrari, A. Pinamonti:
Characterization by asymptotic mean formulas of q-harmonic functions in Carnot groups
Potential Analysis (Accepted Paper) 2014
A. Farina, M. Novaga, A. Pinamonti:
Symmetry results for nonlinear elliptic operators with unbounded drift
NoDEA Nonlinear Differential Equations Appl. Vol. 21, N. 6, p. 869-883, 2014
L. Ambrosio, A. Pinamonti, G. Speight:
Tensorization of Cheeger energies, the space $H^{1,1}$ and the area formula for graphs
Advances in Mathematics Vol. 281, N. 1145-1177, 2014
A. Pinamonti, G. Speight:
A Measure Zero Universal Differentiability Set in the Heisenberg Group
(Accepted paper: Math.Ann.) 2015
L. Ambrosio, A. Pinamonti, G. Speight:
Weighted Sobolev Spaces on Metric Measure Spaces
J. Reine Angew. Math. (Accepted paper) 2015
A. Pinamonti, F. Serra Cassano, G. Treu, D. Vittone:
BV Minimizers of the area functional in the Heisenberg group under the bounded slope condition
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. 14, N. 3, p. 907--935, 2015
A. Pinamonti:
Multiple solutions for possibly degenerate equations in divergence form
Elec. Journ. of Diff. Eqns (Accepted Paper) 2016
A. Pinamonti, G. Speight:
Porosity, Differentiability and Pansu's Theorem
Journal of Geometric Analysis (Accepted Paper) 2016
A. Pinamonti, M. Squassina, E. Vecchi:
Magnetic BV functions and the Bourgain-Brezis-Mironescu formula
(Advances in Calculus of Variations) 2016
A. Pinamonti, G. Speight:
Structure of Porous Sets in Carnot Groups
(Illinois Journal of Math. ) 2016
A. Pinamonti, M. Squassina, E. Vecchi:
The Maz'ya-Shaposhnikova limit in the magnetic setting
Journal of Mathematical Analysis and Applications (Accepted Paper ) 2017
A. Fiscella, A. Pinamonti, E. Vecchi:
Multiplicity results for magnetic fractional problems
Journal of Differential Equations (Accepted Paper) 2017
H. M. Nguyen, A. Pinamonti, M. Squassina, E. Vecchi:
New characterizations of magnetic Sobolev spaces
(Advances in Nonlinear Analysis) p. 21, 2017
E. Le Donne, A. Pinamonti, G. Speight:
Universal differentiability sets and maximal directional derivatives in Carnot groups
(Accepted Paper: J. Math. Pures Appl.) 2017
S. Dipierro, A. Pinamonti, E. Valdinoci:
Classification of stable solutions for boundary value problems with nonlinear boundary conditions on Riemannian manifolds with nonnegative Ricci curvature
Advances in Nonlinear Analysis (Accepted Paper) 2017
S. Dipierro, A. Pinamonti, E. Valdinoci:
Rigidity results for elliptic boundary value problems: stable solutions for quasilinear equations with Neumann or Robin boundary conditions
IMRN (Accepted Paper) 2017
H. M. Nguyen, A. Pinamonti, M. Squassina, E. Vecchi:
Some characterizations of magnetic Sobolev spaces
Complex Variables and Elliptic Equations. (Accepted Paper) 2017
F. Ferrari, M. Miranda Jr, D. Pallara, A. Pinamonti, Y. Sire:
Fractional Laplacians, perimeters and heat semigroups in Carnot groups
Discrete Contin. Dyn. Syst. Ser. S Vol. 11, p. 477-491, 2018
A. Maalaoui, A. Pinamonti:
Interpolations and Fractional Sobolev Spaces in Carnot Groups
Nonlinear Analysis (Accepted Paper) 2018
A. Pinamonti, G. Speight, S. Zimmerman:
A $C^m$ Whitney extension theorem for horizontal curves in the Heisenberg group
Trans AMS (Accepted Paper) 2018
S. Dipierro, A. Pinamonti, E. Valdinoci:
Rigidity results in Diffusion Markov Triples
J. Funct. Anal. (Accepted Paper) 2018
M. Fogagnolo, L. Mazzieri, A. Pinamonti:
Geometric aspects of p-capacitary potentials
Ann. Inst. H. Poincaré Anal. Non Linéaire 2018
V. Magnani, A. Pinamonti, G. Speight:
Porosity and differentiability of Lipschitz maps from stratified groups to Banach homogeneous groups
Ann. Mat. Pura Appl. 2019
A. Pinamonti, G. Speight:
Universal Differentiability Sets in Carnot Groups of Arbitrarily High Step
Israel Journal of Mathematics (Accepted Paper) 2019
T. Adamowicz, A. Kijowski, A. Pinamonti, B. Warhurst:
Variational approach to the asymptotic mean-value property for the p-Laplacian on Carnot groups
Nonlinear Analysis (Accepted Paper) 2020
A. Maione, A. Pinamonti, F. Serra Cassano:
$\Gamma$-convergence for functionals depending on vector fields I. Integral representation and compactness.
J. Math. Pures Appl. Vol. 139, p. 109-142, 2020
S. Don, L. Lussardi, A. Pinamonti, G. Treu:
Lipschitz minimizers for a class of integral functionals under the bounded slope condition
(Submitted Paper) 2020
S. Biagi, A. Pinamonti, E. Vecchi:
Pohozaev-type identities for differential operators driven by homogeneous vector fields
NoDEA (Accepted Paper) 2020
B. Pass, A. Pinamonti, M. Vedovato:
Multi-marginal optimal transport on the Heisenberg group
Methods and Applications of Analysis (Accepted Paper) 2020
M. Fogagnolo, A. Pinamonti:
Strict starshapedness of solutions to the horizontal p-Laplacian in the Heisenberg group
Mathematics in Engineering (Accepted Paper) 2020
K. Fässler, T. Orponen, A. Pinamonti:
Planar incidences and geometric inequalities in the Heisenberg group
(Submitted Paper) 2020
M. Capolli , A. Pinamonti, G. Speight:
A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group
Calc. Var. Partial Differential Equations (Accepted Paper) 2021
A. Carbotti, S. Don, D. Pallara, A. Pinamonti:
Local minimizers and Gamma-convergence for nonlocal perimeters in Carnot Groups
ESAIM cocv p. 30, 2021
K. Fässler, A. Pinamonti:
Loomis-Whitney inequalities in Heisenberg groups
(Preprint) 2021
A. Maione, A. Pinamonti, F. Serra Cassano:
-convergence for functionals depending on vector fields. II. Convergence of minimizers
(Submitted Paper) 2021
M. Fogagnolo, A. Pinamonti:
New integral estimates in substatic Riemannian manifolds and the Alexandrov Theorem
(Preprint) 2021
S. Biagi, A. Pinamonti, E. Vecchi:
Sublinear equations driven by Hormander operators
(Preprint) 2021