Display Abstract

Title Nodal and multiple solutions for a Dirichlet problem involving the $p$-Laplacian

Name Roberto Livrea
Country Italy
Email roberto.livrea@unirc.it
Co-Author(s) P. Candito and S. Carl
Submit Time 2014-02-26 06:45:26
Session
Special Session 21: Variational, topological, and set-valued methods for differential problems
Contents
The talk deals with some recent multiplicity results, jointly obtained with P. Candito and S. Carl, for a parametric Dirichlet quasilinear problem. In particular, it will be shown how the combined use of variational methods and the sub-supersolution techniques assures the existence of explicit intervals of parameters for which the problem under examination admits multiple solutions satisfying some sign conditions, as well an a priori estimate. An alternative approach based on the pseudomonotone operator theory will be also outlined.