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一类拟线性椭圆型方程三解的存在性

Three Solutions for a Class of Quasilinear Elliptic Equations
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摘要 利用Ricceri给出的三解定理,得到了一类含(p(x),q(x))-Laplacian算子的拟线性椭圆型方程弱解的存在性和多解性. Based on a three critical points theorem given by ricceri , this paper establish the existence and multiplicity of the weak solutions to a class of quasilinear elliptic equation involving （ p（ x） ,q（ x） ）-Laplacian operators.
作者 王苏琪 尹洪辉
机构地区 淮阴师范学院数学科学学院
出处 《淮阴师范学院学报（自然科学版）》 CAS 2014年第4期287-292,301,共7页 Journal of Huaiyin Teachers College;Natural Science Edition
基金 江苏省高校自然科学基金资助项目(12KJB110002)
关键词 变指数 椭圆型方程 三解定理 variable exponent elliptic equations three critical points theorem
分类号 O175 [理学—基础数学]
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参考文献17

  • 1Yin H H,Wen J.Three solutions for a class of quasilinear elliptic equation involving the p-q-Laplace operator[J].Math Meth Appl Sci,2014,37(3):428-434.
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  • 6Mihailescu M.Existence and multiplicity of solutions for a Neumann problem imvolving the p(x)-Laplaceoperator[J].Nonlinear Anal,2007,67(5):1419-1425.
  • 7Shi X Y,Ding X H.Existence and multiplicity of solutions for a general p(x)-Laplacian Neumann problem[J].Nonlinear Anal,2009,70(10):3715-3720.
  • 8Yin H H.Existence of three solutions for a Neumann problem involving the p(x)-Laplace operator[J].Math Meth Appl Sci,2012,35(3):307-313.
  • 9尹洪辉,刘英.一类含p(x)-Laplace算子的拟线性椭圆方程三解的存在性[J].淮阴师范学院学报（自然科学版）,2012,11(2):111-116. 被引量：1
  • 10Bonanno G,Candito P.Three solutions to a Neumann problem for elliptic equations involving the p-Laplacian[J].Arch Math,2003,80(4):424-429.

二级参考文献13

  • 1Anello G, Cordaro G. Existence of solutions of the Neumann problem for a class of equations involving the p-Laplacian via avaria- tional principle of Ricceri [ J]. Arch Math, 2002,79 : 274 - 287.
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  • 10Ruzicka M. Electro-rheological Fluids: Modehng and Mathematical Theory, Lecture Notes in Math [ M ]. Springer-Verlag, Berlin, 2000.
淮阴师范学院学报（自然科学版）
2014年 第4期

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