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].
Radial positive solutions for p-Laplacian supercritical Neumann problems / Francesca Colasuonno; Benedetta Noris. - In: BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR. - ISSN 2240-2829. - STAMPA. - 8:1(2017), pp. 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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