Amann-Zehnder type results for p-Laplace problems

Abstract

The existence of a nontrivial solution is proved for a class of quasilinear elliptic equations involving, as principal part, either the p-Laplace operator or the operator related to the p-area functional, and a nonlinearity with p-linear growth at infinity. To this aim, Morse theory techniques are combined with critical groups estimates.

Cited by in corpus (2)

• Optimization results for the higher eigenvalues of the $p$-Laplacian associated with sign-changing capacitary measures
• Multiple positive solutions for a p-Laplace Benci-Cerami type problem (1<p<2), via Morse theory