一类含p(x)-Laplace算子的拟线性椭圆方程三解的存在性  

Three Solutions for A Class of Quasilinear Elliptic Equations Involving the p(x)-Laplace Operator

作　　者：尹洪辉[1] 刘英[1] 

机构地区：[1]淮阴师范学院数学科学学院,江苏淮安223300

出　　处：《淮阴师范学院学报（自然科学版）》2012年第2期111-116,共6页Journal of Huaiyin Teachers College;Natural Science Edition

摘　　要：讨论了一类含p(x)-Laplace算子的拟线性椭圆方程.在Dirichlet边界条件下解的存在性,利用B.Ricceri的三解定理得到了方程至少存在三个弱解.The existence of at least three weak solutions is established for a class of quasilinear elliptic equations involving the p （x）-Laplace operator with Dirichlet boundary condition. The technical approach is mainly baced on a three critical points theorem due to Riceeri.

关 键 词：p(x)-Laplace算子 SOBOLEV空间 三解定理 

分 类 号：O175.8[理学—数学]