Existence of solutions for quasilinear elliptic equations with superlinear nonlinearities

摘要

Working in a weighted Sobolev space, a new result involving superlinear nonlinearities for a quasilinear elliptic boundary value problem in a domain in R N is established. The proofs rely on the Galerkin method, Brouwer’s theorem and a new weighted compact Sobolev-type embedding theorem due to V.L. Shapiro. MSC: 35J25, 35J62, 65L60.