This paper deals with existence and multiplicity of positive solutions for a quasilinear problem with Neumann boundary conditions. The problem is set in a ball and admits at least one constant non-zero solution; moreover, 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].
Francesca Colasuonno, Benedetta Noris (2017). Radial positive solutions for p-Laplacian supercritical Neumann problems. BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR, 8(1), 55-72 [10.6092/issn.2240-2829/7797].
Radial positive solutions for p-Laplacian supercritical Neumann problems
Francesca Colasuonno;
2017
Abstract
This paper deals with existence and multiplicity of positive solutions for a quasilinear problem with Neumann boundary conditions. The problem is set in a ball and admits at least one constant non-zero solution; moreover, 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].| File | Dimensione | Formato | |
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