Positive solutions of critical quasilinear elliptic problems ingeneral domains

Abstract

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.

Multiplicity of solutions for quasilinear elliptic equations in RN

“…For more literature concerning nonsmooth critical point theory approach of quasilinear problems in unbounded domains, we refer, for example, to [7,11].…”