3 citations · 5 across the 7 of their papers we have counts for
11 papers
Rigidity results in Diffusion Markov Triples
Serena Dipierro, Andrea Pinamonti, Enrico Valdinoci
We consider stable solutions of semilinear equations in a very general setting. The equation is set on a Polish topological space endowed with a measure and the linear operator is…
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…