Multiple Solutions for a Class of [inline-graphic not available: see fulltext]-Laplacian Systems

被引:0
作者
Yongqiang Fu
Xia Zhang
机构
[1] Harbin Institute of Technology,Department of Mathematics
来源
Journal of Inequalities and Applications | / 2009卷
关键词
Banach Space; Weak Solution; Open Subset; Bounded Domain; Variational Problem;
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学科分类号
摘要
We study the multiplicity of solutions for a class of Hamiltonian systems with the [inline-graphic not available: see fulltext]-Laplacian. Under suitable assumptions, we obtain a sequence of solutions associated with a sequence of positive energies going toward infinity.
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  • [1] Kováčik O(1991)On spaces Czechoslovak Mathematical Journal 41(116) 592-618
  • [2] Rákosník J(2005) and Journal of Mathematical Analysis and Applications 306 604-618
  • [3] Chabrowski J(2006)Existence of solutions for Journal of Mathematical Analysis and Applications 323 1483-188
  • [4] Fu Y(2004)-Laplacian problems on a bounded domain Nonlinear Analysis: Theory, Methods & Applications 59 173-2641
  • [5] Chabrowski J(2006)Corrigendum to: "Existence of solutions for Proceedings of the Royal Society of London. Series A 462 2625-2989
  • [6] Fu Y(2003)-Laplacian problems on a bounded domain" Transactions of the American Mathematical Society 355 2973-207
  • [7] Fan X(1993)Existence and multiplicity of solutions for Journal of Differential Equations 102 188-225
  • [8] Han X(1999)-Laplacian equations in Proceedings of the Royal Society of London. Series A 455 219-293
  • [9] Mihăilescu M(2000)A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids Studia Mathematica 143 267-348
  • [10] Rădulescu V(2001)Strongly indefinite functionals and multiple solutions of elliptic systems Journal of Mathematical Analysis and Applications 255 333-undefined