22 citations · 80 across the 66 of their papers we have counts for
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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…
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…