Nonlinear elliptic problems involving the n-Laplacian with maximal growth

Abstract

In this article, we study the limit case of some elliptic problems involving nonlinearities having the maximal growth with Dirichlet boundary conditions. We apply a result by Ricceri [12] to prove the existence of multiple nontrivial solutions using Trudinger-Moser estimates.

Keywords

• Limit case
• maximal growth
• Trudinger-Moser's inequality
• Ricceri's principle