期刊文献+

p-Laplacian方程的渐近线性Dirichlet问题 被引量:2

Existence of Positive Solutions for Asymptotically Linear p-Laplacian Dirichlet Problem
下载PDF
导出
摘要 在没有Rabinowitz的(AR)条件下,用山路引理及极小作用原理获得了一类渐近线性p-LaplacianDirichlet问题正解的存在性结果. By using mountain pass theorem and the least action, in the condition of without assuming Rabinowitz(AR), the existence of positive solution is obtained for a class of asymptotically linear p-Laplacian Dirichlet problem.
出处 《河北师范大学学报(自然科学版)》 CAS 北大核心 2006年第1期21-24,共4页 Journal of Hebei Normal University:Natural Science
基金 国家自然科学基金资助项目(10171040)
关键词 正解 渐近线性 DIRICHLET问题 变分法 positive solution asymptotically linear Dirichlet problem variational method
  • 相关文献

参考文献6

  • 1AMEROSETTI A, RABINOWITZ P H. Dual varitional methods in critical points theory and applications[J].J Funct Anal, 1973,14 : 349-381.
  • 2BREZIS H, NIRENBERG L. Positive solutions of nonlinear elliptic equation involving sobolev exponents[J]. Commpure Appl Math, 1983,36 : 437-477.
  • 3RABMOWITZ P H. Minmax Methods in Critical Point Theory with Applications to Differential Equations[M]. Rhode Island. American Mathematical Society, 1986.
  • 4STUART C A. Self-trapping of an electromagnetic field and bifurcation from the essential spectrum [J]. Arch Rat Mech Anal, 1991,113:65-96.
  • 5HOU Huan-song. Asympotically linear Dirichlet problem for the p-Laplacian [J]. Nonlinear Analysis,200l, 43.1043-1053.
  • 6MAWHIN J, WILLEM M. Critical Point Theory and Hamiltonian Systems[M]. New York: Springer-verlag, 1999.

同被引文献7

  • 1H S Zhou. Existence of asymptotically linear Dirichlet problem [J]. Nonlinear Analysis ,2001,44 (7):909-918.
  • 2G Li, Z Zhang, H S Zhou. Asymptotically linear Dirichlet problem for the p-Laplacian [J]. Nonlinear Analysis,2001,43(8): 1043-1055.
  • 3Z Zhang, S Li, W Feng. On an asymptotically linea elliptic Dirichlet problem [J].Abstract and Applied Analysis,2002,7(10):509-516.
  • 4Wang J, Tang C L. Existence and multiplicity of solutions for a class of superlinear Laplician equations [J]. BoundValue Pr〇bl,2006,12(1):1-12.
  • 5Costa D G, Miyagaki O H. Nontriivial solutions for perturbations of the Laplician on unbounded domains [J]. Math.Anal. Applications,1995,193:737-755.
  • 6J L Vazquez. A strong maximum principle for some quasilinear elliptic equations[J]. Applied Mathematics and Optimization,1984,12(3):191-202.
  • 7裴瑞昌.p拉普拉斯Dirichlet问题的非平凡解[J].数学物理学报(A辑),2013,33(1):165-173. 被引量:3

引证文献2

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部