22 citations · 80 across the 66 of their papers we have counts for
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Universal Differentiability Sets in Carnot Groups of Arbitrarily High Step
Andrea Pinamonti, Gareth Speight
We show that every model filiform group contains a measure zero set such that every Lipschitz map is differentiable at s…
Classification of stable solutions for boundary value problems with nonlinear boundary conditions on Riemannian manifolds with nonnegative Ricci curvature
Serena Dipierro, Andrea Pinamonti, Enrico Valdinoci
We present a geometric formula of Poincaré type, which is inspired by a classical work of Sternberg and Zumbrun, and we provide a classification result of stable solutions of linea…
Rigidity results for elliptic boundary value problems: stable solutions for quasilinear equations with Neumann or Robin boundary conditions
Serena Dipierro, Andrea Pinamonti, Enrico Valdinoci
We provide a general approach to the classification results of stable solutions of (possibly nonlinear) elliptic problems with Robin conditions. The method is based on a geometric…
Porosity and Differentiability of Lipschitz Maps from Stratified Groups to Banach Homogeneous Groups
Valentino Magnani, Andrea Pinamonti, Gareth Speight
Let be a Lipschitz map from a subset of a stratified group to a Banach homogeneous group. We show that directional derivatives of act as homogeneous homomorphisms at de…
Universal differentiability sets and maximal directional derivatives in Carnot groups
Enrico Le Donne, Andrea Pinamonti, Gareth Speight
We show that every Carnot group G of step 2 admits a Hausdorff dimension one `universal differentiability set' N such that every real-valued Lipschitz map on G is Pansu differentia…
New characterizations of magnetic Sobolev spaces
Hoai-Minh Nguyen, Andrea Pinamonti, Marco Squassina +1
We establish two new characterizations of magnetic Sobolev spaces for Lipschitz magnetic fields in terms of nonlocal functionals. The first one is related to the BBM formula, due t…