In this paper, the existence of a nontrivial solution for a class of quasilinear elliptic equations with a disturbance term in a weighted Sobolev space is proved. The proofs rely on Galerkin method, Brouwer＇s theorem...In this paper, the existence of a nontrivial solution for a class of quasilinear elliptic equations with a disturbance term in a weighted Sobolev space is proved. The proofs rely on Galerkin method, Brouwer＇s theorem and a new weighted compact Sobolev-type embedding theorem established by V.L. Shapiro.展开更多
基金Supported by the National Natural Science Foundation of China(No.11171220)Shanghai Leading Academic Discipline Project(XTKX2012)
文摘In this paper, the existence of a nontrivial solution for a class of quasilinear elliptic equations with a disturbance term in a weighted Sobolev space is proved. The proofs rely on Galerkin method, Brouwer＇s theorem and a new weighted compact Sobolev-type embedding theorem established by V.L. Shapiro.
