Abstract and Applied Analysis
Volume 3 (1998), Issue 1-2, Pages 65-84
doi:10.1155/S108533759800044X

Positive solutions of critical quasilinear elliptic problems in general domains

Abstract

We consider a certain class of quasilinear elliptic equations with a term in the critical growth range. We prove the existence of positive solutions in bounded and unbounded domains. The proofs involve several generalizations of standard variational arguments.