Author:
Cinti Eleonora,Colasuonno Francesca
Abstract
AbstractWe establish a priori $$L^\infty $$
L
∞
-estimates for non-negative solutions of a semilinear nonlocal Neumann problem. As a consequence of these estimates, we get non-existence of non-constant solutions under suitable assumptions on the diffusion coefficient and on the nonlinearity. Moreover, we prove an existence result for radial, radially non-decreasing solutions in the case of a possible supercritical nonlinearity, extending to the case $$0<s\le 1/2$$
0
<
s
≤
1
/
2
the analysis started in [7].
Funder
Gruppo Nazionale per l’Analisi Matematica, la Probabilitá e le loro Applicazioni
Alma Mater Studiorum - Università di Bologna
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Analysis
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