25/10/2017 Existence and multiplicity of solutions for p-Laplacian supercritical Neumann problems
Francesca Colasuonno (Università di Bologna)
Aula B3 (Palazzo Manfredini), ore 15
I will present some results concerning existence and multiplicity of radial positive solutions to a p-Laplacian problem set in a ball of R^N, with Neumann boundary conditions. The main feature of the problem is that the equation involves a nonlinearity which is possibly supercritical in the sense of Sobolev embeddings. The techniques used are variational methods and the shooting method for ODEs.
This talk is based on joint works with Alberto Boscaggin and Benedetta Noris.
[1] F. Colasuonno, B. Noris, A p-Laplacian supercritical Neumann problem, Discrete Contin. Dyn. Syst., Vol. 37 (2017) 3025-3057
[2] A. Boscaggin, F. Colasuonno, B. Noris, Multiple positive solutions for a class of p-Laplacian Neumann problems without growth conditions, arXiv:1703.05727
[2] A. Boscaggin, F. Colasuonno, B. Noris, Multiple positive solutions for a class of p-Laplacian Neumann problems without growth conditions, arXiv:1703.05727
