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无界区域上含p-Laplacian的共振问题 被引量：1

Resonance Problems for the p-Laplacian on Unbounded Domains
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摘要 本文利用变分方法研究如下边值问题的可解性:-△pu=μQ(x)|u|p-2u+f(x,u),u∈D1 0p(Ω),其中Ω是RN中的开集,1＜p＜N,μ≥0为参变量,函数Q和f可变号. By using the variational method, we discuss the existence of solution of the boundary value problem-△pu=μQ(x)|u|p-2u+f(x,u), u∈D01,p(Ω), where Ω is an open set of RN, 1<p<N,u>0 and both functions Q and f may change sign.
作者 黄毅生 周育英
机构地区 云南师范大学数学系
出处 《数学学报（中文版）》 SCIE CSCD 北大核心 2002年第5期841-846,共6页 Acta Mathematica Sinica：Chinese Series
基金 云南省自然科学基金资助项目
关键词 无界区域 P-LAPLACIAN 共振问题 变分方法 边值问题 p-Laplacian Unbounded domain Variational method
分类号 O175.25 [理学—基础数学] O175.8 [理学—基础数学]
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参考文献10

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同被引文献13

  • 1Smets D. A concentration-compactness lemma with applications to singular eigenalue problems [ J ]. J Funct Anal, 1999,167:463 - 480.
  • 2Le A. Eigenvalue problems for the p-Laplacian [ J ]. Nonlinear Anal,2006,64:1057 - 1099.
  • 3Szulkin A, Willem M. Eigenvalue problems with indefinite weight [ J ]. Studia Math, 1999,135 : 191 - 201.
  • 4Huang Y X. Eigenvalue problems of the p-Laplacian in R^N with indefinite weight[ J ]. Comm Math Univ Carolinae, 1995,36:519 - 527.
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  • 7Yu L S. Nonlinear p-Laplacian problems on unbounded Domains [ J ]. Proc Amer Math Soc, 1992,115 (4) : 1037 - 1045.
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  • 9Zeilder E. Nonlinear Functional Analysis and its Applications [ M ]. Vol. 2A. Berlin: Springer-Verlag, 1990.
  • 10Szulkin A. Ljusternik-Schirelman theory on C^1 -manifolds [ J ]. Ann Inst H Poincare Anal Non Lineaire, 1998 (5) :119 - 139.

引证文献1

数学学报（中文版）
2002年 第5期

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