期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

具有奇异和对数非线性项的p&q-Laplace问题的多重非平凡解

Multiple Nontrivial Solutions for p&q-Laplace Problems with Singular and Logarithmic Nonlinearity
原文传递
导出
摘要 文章研究具有奇异和对数非线性项的p&q-Laplace问题.应用变分方法和非光滑泛函的临界点理论获得两个非平凡解的存在性。 In this paper,we study the p&q-Laplace problem with singular and logarithmic nonlinear terms.The existence of two nontrivial solutions is obtained by using variational method and critical point theory of non-smooth functional.
作者 张学梅 索洪敏 王臣熙 王梅 ZHANG Xue-mei;SUO Hong-min;WANG Chen-xi;WANG Mei(School of Data Science and Information Engineering,Guizhou Minzu University,Guiyang 550025,China)
机构地区 贵州民族大学数据科学与信息工程学院
出处 《数学的实践与认识》 北大核心 2024年第10期194-204,共11页 Mathematics in Practice and Theory
基金 国家自然科学基金(11661021,11861021)。
关键词 对数p&q-Laplace方程 奇异非线性项 变分方法 非光滑泛函临界点理论 logarithmic p&q-Laplace equation singular nonlinear term variational methods the critical point theory for non-smooth functional
分类号 O175 [理学—基础数学]
  • 相关文献

参考文献2

二级参考文献21

  • 1M. G. Crandall, P. H. Rabinowitz, and L. Tartar, On a Dirichtet problem with a singular nonlinearity, Comm. Partial Differential Equations, 1977, 2:193 -232.
  • 2A. V. Lair and A. W. Shaker, Classical and weak solutions of a singular semilinear elliptic problem, J. Math. Anal. Appl., 1997, 211:193-222.
  • 3A. C. Lazer and P.J.Mckenna, On a singular nonlinear elliptic boundary value problem, in Proc. Amer. Math. Aoc., 1191, 111: 721-730.
  • 4M. A. del Pino, A global estimate for the gradient in a singular elliptic boundary value problem, in Proc. Roy. Soc. Edinburgh Sect. A, 1992, 122: 341-352.
  • 5J. I. Diaz, J. M. Morel, and I. Oswald, An elliptic equation with singular nonlinearity, Comm. Partial Differential Equations, 1987, 12: 1333-1344.
  • 6M. M. Coclite and G. Palmieri, On a singular nonlinear Dirichlet poblem, Comm. Partial Differential Equations, 1989, 14: 1315--1327.
  • 7H. T. Yang, Muitiplicity and asymptotic behavior of positive solutions for a singular semilinear elliptic problem, J. Differential EquAtions, 2003, 189: 487-512.
  • 8J. Hernandez, F. J. Mancebo, and J. M. Vega, Positive solutions for singular nonlinear elliptic equations, in Proc. Roy. Soc. Edinburgh, 2007, 137: 41-62.
  • 9H. Hiraro and C. Saccon, and N. Shioji, Existence of multiple positive solutions for singular elliptic problems with a concave and convex nonlinearities, Adv. Differential Equations, 2004, 9: 197-220.
  • 10Y. Sun and S, Li, Structure of ground state solutions of singular elliptic equations Nonlinear analysis, 2003, 55: 399-417.

共引文献1

数学的实践与认识
2024年 第10期

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