4 citations · 20 across the 44 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…
All functions are (locally) -harmonic (up to a small error) - and applications
Enrico Valdinoci
The classical and the fractional Laplacians exhibit a number of similarities, but also some rather striking, and sometimes surprising, structural differences. A quite important exa…
Density estimates for degenerate double-well potentials
Serena Dipierro, Alberto Farina, Enrico Valdinoci
We consider a general energy functional for phase coexistence models, which comprises the case of Banach norms in the gradient term plus a double-well potential. We establish densi…
On stationary fractional Mean Field Games
Annalisa Cesaroni, Marco Cirant, Serena Dipierro +2
We provide an existence result for stationary fractional mean field game systems, with fractional exponent greater than 1/2. In the case in which the coupling is a nonlocal regular…
A three-dimensional symmetry result for a phase transition equation in the genuinely nonlocal regime
Serena Dipierro, Alberto Farina, Enrico Valdinoci
We consider bounded solutions of the nonlocal Allen-Cahn equation $$ (-Δ)^s u=u-u^3\qquad{\mbox{ in }}{\mathbb{R}}^3,$$ under the monotonicity condition and in…
New trends in free boundary problems
Serena Dipierro, Aram Karakhanyan, Enrico Valdinoci
We present a series of recent results on some new classes of free boundary problems. Differently from the classical literature, the problems considered have either a "nonlocal" fea…