Generalized n-Laplacian: quasilinear nonhomogenous problem with the critical growth

Abstract

Applying the generalized Moser-Trudinger inequality, the Moun- tain Pass Theorem and the Ekeland Variational Principle we study the exis- tence of non-trivial weak solutions to the Dirichlet problem concerning the generalized n-Laplace equation with the nonlinearity having the critical growth.

Keywords

• Orlicz-Sobolev spaces
• Mountain Pass Theorem
• Palais-Smale se-