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一类非齐次边值的非线性椭圆方程的可解性 被引量:2

A Class of Nonlinear Elliptic Equations with Non-homogeneous Boundary Values
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摘要 对于一类非齐次边值的非线性椭圆方程,应用变分方法研究了参数λ,μ∈R以及实数p,q在1到2N/(N-2)范围内此类方程的可解性,得到了一些新的结果. We study the existence of a class of nonlinear elliptic equation with non-homogeneous boundary values by using variational methods for the various cases that λ,μ∈R and 1 〈 p,q 〈 2N/(N-2) . The results of this paper are new.
出处 《河南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2006年第1期19-21,共3页 Journal of Henan Normal University(Natural Science Edition)
基金 河南省教育厅自然科学研究项目(2004110002)
关键词 非齐次边值 变分方法 非线性椭圆方程 强制性 弱下半连续 non-homogeneous boundary values variational methods nonlinear elliptic equation coerciveness weakly lower semi-continuity
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  • 1Rabinowitz P H. Variational methods for nonlinear eigenvalue problems [J]. Indiana Univ Math J, 1974, 23:729-754. 被引量:1
  • 2Ambrosetti A, Rabinowitz P H. Dual variational methods in critical point theory and applications [J]. J Funct Anal,1973, 14: 195-204. 被引量:1
  • 3Bahri A, Berestycki H. A perturbation method in critical point theory and applications [J]. Trans Amer Math Soc, 1981,267: 1-32. 被引量:1
  • 4Rabinowitz P H. Multiple critical points of perturbed symmetric functionals [J]. Trans Amer Math Soc, 1982, 272: 753-769. 被引量:1
  • 5Struwe M. Infinitely many critical points for functionals which are not even and applications to superlinear boundary value problems[J]. Manuscripta Math, 1980, 32: 335-364. 被引量:1
  • 6Candela A M, Salvatore A. Multiplicity results of an elliptic equation with nonhomogeneous boundary conditions[J].Topol Methods Nonl Anal, 1998, 11: 1-18. 被引量:1
  • 7Candela A M, Salvatore A. Some applications of a perturbative method to elliptic equations with non-homogeneous boundary eonditions[J]. Nonl Anal, 2003, 53 : 299- 317. 被引量:1
  • 8钟承奎等著..非线性泛函分析引论[M].兰州:兰州大学出版社,1998:250.

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