On a quasilinear elliptic equation with superlinear nonlinearities

Abstract

This work is devoted to studying a quasilinear elliptic boundary value problem with superlinear nonlinearities in a weighted Sobolev space in a domain of R ^N. Based on the Galerkin method, Brouwer’s theorem and the weighted compact Sobolev-type embedding theorem, a new result about the existence of solutions is revealed to the problem.

Keywords

Weighted Sobolev space / Superlinear / Quasilinear elliptic equation

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