RADIAL POSITIVE SOLUTIONS FOR p-LAPLACIAN SUPERCRITICAL NEUMANN PROBLEMS

F. Colasuonno , Benedetta Noris (1)

1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352

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].

Domaines: Mathématiques [math]

F. Colasuonno, Benedetta Noris. RADIAL POSITIVE SOLUTIONS FOR p-LAPLACIAN SUPERCRITICAL NEUMANN PROBLEMS. Bruno Pini Mathematical Analysis Seminar, 2017, 1, pp.55-72. ⟨hal-03623066⟩