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Existence of Positive Solution for a p-Laplacian System 被引量：1

p-Laplacian System方程组正解的存在性(英文)
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摘要 Using the fibering method introduced by Pohozaev, we prove existence of positive solution for a Diriclhlet problem with a quasilinear system involving p-Laplacian operator.
作者 杨国英 祁瑞改
机构地区 Department of Mathematics
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第4期549-555,共7页 数学季刊（英文版）
基金 Supported by the National Natural Science Foundation of China(10771052, 10801090) Supported by the Henan Natural Science Foundation(2009B110009) Supported by the Henan Polytechnic University Science Foundation(B2008-56, 649106)
关键词 p-Laplacian system fibreing maps maximizing suquence p-Laplacian system fibreing maps maximizing suquence
分类号 O175.25 [理学—基础数学]
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参考文献8

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同被引文献29

  • 1DIENING L, NEKVINDA A. Open Problems in Variable Exponent Lebesgue and Sobolev Spaces[M]. Milovy (Czech Republic): Masaryk University Press, 2004: 38-58.
  • 2JIKOV V V, KOZLOV S M, OLEINIK 0 A. Homogenization of Differential Operators and Integral Func?tionals[M]. Berlin: Springer-Verlag, 1994.
  • 3MANAsEVIC H R, MAWHIN J. Periodic solutions for nonlinear systems with p-Laplacian-like operators[J]. J Differential Equations, 1998, 145(2): 367-393.
  • 4MARCELLINI P. Regularity and existence of solutions of elliptic equations with (p, q )-growth conditions[J]. J Differential Equations, 1991, 90: 1-30.
  • 5FAN Xian-ling, HAN Xiao-you. Existence and multiplicity of solutions for p(x)-Laplacian equations in RN[J]. Nonlinear Anal, 2004,59: 173-188.
  • 6FAN Xian-ling, ZHANG Qi-hu. Existence of solutions for p(x)-Laplacian Dirichlet problem[J]. Nonlinear Anal, 2003, 52: 1843-1852.
  • 7FAN Xian-ling, ZHAO Yuan-zhang, ZHAO Dun. Compact embeddings theorems with symmetry of Strauss?Lions type for the space wm,p(X) (fl)[J]. J Math Anal Appl, 2001, 255: 333-348.
  • 8WANG Xian-jun, YUAN Rong. Existence of periodic solutions for p(t)-Laplacian systems[J]. Nonlinear Anal, 2009, 70: 866-880.
  • 9ZHANG Liang, TANG Xian-hua, CHEN Jing. Infinitely many periodic solutions for some second-order differential systems with p(t)-Laplacian[J]. Boundary Value Problems, 2011, 2011: 33.
  • 10DAI Guo-wei. Three solutions for a Neumann-type differential inclusion problem involving the p(x)?Laplacian[J]. Nonlinear Anal, 2009, 70: 3755-3760.

引证文献1

Chinese Quarterly Journal of Mathematics
2011年 第4期

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