15-98 Serena Dipierro, Nicola Soave, Enrico Valdinoci
On stable solutions of boundary reaction-diffusion equations and applications to nonlocal problems with Neumann data (99K, LaTeX) Sep 7, 15
Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. We study reaction-diffusion equations in cylinders with possibly nonlinear diffusion and possibly nonlinear Neumann boundary conditions. We provide a geometric Poincar\'e-type inequality and classification results for stable solutions, and we apply them to the study of an associated nonlocal problem. We also establish a counterexample in the corresponding framework for the fractional Laplacian.

Files: 15-98.src( 15-98.keywords , aaa.tex )