Radial positive solutions for p-Laplacian supercritical Neumann problems

Abstract

This paper deals with existence and multiplicity of positive solutions for a quasilinear problem with Neumann boundary conditions, set in a ball. The problem admits at least one constant non-zero solution and it involves a nonlinearity that can be supercritical in the sense of Sobolev embeddings. The main tools used are variational techniques and the shooting method for ODE's. These results are contained in [6,3].

18 pages, 7 figures, "Seminari di Analisi Matematica Bruno Pini" - Università di Bologna

References in corpus (2)

• Multiple positive solutions for a class of p-Laplacian Neumann problems without growth conditions
• A $p$-Laplacian Neumann problem with a possibly supercritical nonlinearity