Existence of Solutions to a Slightly Supercritical Pure Neumann Problem
Existence of Solutions to a Slightly Supercritical Pure Neumann Problem
.We show the existence and multiplicity of concentrating solutions to a pure Neumann slightly supercritical problem in a ball. This is the first existence result for this kind of problem in the supercritical regime. Since the solutions must satisfy a compatibility condition of zero average, all of them have to …