On minmax characterization in non-linear eigenvalue problems

Abstract

This is a note based on the paper [20] written in collaboration with N. Fusco and Y. Zhang. The main goal is to introduce minimax type variational characterization of non-linear eigenvalues of the p-Laplacian and other results related to shape and spectral optimization problems.

Keywords

• nonlinear spectral theory
• critical point theory
• minimax principle