Positive solutions of critical quasilinear elliptic problems in general domains

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.

Bibliographic Details
Main Author: Filippo Gazzola
Format: Article
Language:English
Published: Hindawi Limited 1998-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S108533759800044X