期刊文献+

包含Sobolev-Hardy指数的p-Laplace方程的多解(英文) 被引量:5

Multiplicity of Solutions for a pLaplace Equation Involving Critical SobolevHardy Exponent
下载PDF
导出
摘要 在本文中 ,我们利用Sobolev Hardy不等式 ,局部PS条件和亏格理论 ,证明了一类带临界Sobolev Hardy指数的奇异 p In this paper we give some multiple result s f or a singular pLaplace equation involving critical SobolevHardy exponent by using SobolevHardy inequality,local PS condition and genus.
出处 《应用数学》 CSCD 北大核心 2003年第4期156-160,共5页 Mathematica Applicata
基金 SupportedbytheNSFC( 10 1710 32)andtheGuangdongNSF( 0 116 0 6 )
关键词 临界指数 奇异p-Laplace方程 亏格 多重解 SOBOLEV-HARDY不等式 泛函 Critical exponent Multiple solution SobolevHardy ineq uality Genus
  • 相关文献

参考文献10

  • 1H Brezis, L Nirenberg. Positive solutions of nonlinear elliptic equation involving critical Sobolev exponents[J]. Comm Pure AppL Math , 1983,36: 437 -477.
  • 2J Garcia Azorero, I Pearl Alonso. Multiplicity of solutions for elliptic problems with Critical exponent or with a nonsymmetric term [J]. American Math Soc, 1991,323 (2) : 877 -895.
  • 3ShuJie Li,WenMing Zou. Remarks on a class of elliptic problems with critical exponents[J]. Nonlinear Analysia,T M A ,1998,12(6) :769-774.
  • 4H Egnell. Elliptic boundary value problem with singular and critical nonlinearities [J]. Indiana Univ. Math J , 1989,38(2) :235-251.
  • 5D C Clark. A variant of the Lusternik-schnirelman theory[J]. Indiana Univ Math , 1972,22,65-74.
  • 6L Caffarelli, R Kohn, L Nirenberg. First order interpolation inequalities with weights [J ]. CompositionMath , 1984,53 :259-275.
  • 7K S Chou,C W Chu. On the best constant for a weighted Sobolev-Hardy inequality[J]. J London Math Soc, 1993,48(2) : 137- 151.
  • 8P L Lions. The concentration-compactness priciple in the calculous of variations[J]. The limit case, Rev Math Ibero, 1985,1 (1): 145-201.
  • 9P L Lions. The concentration-compactess priciple in the calculous of variations[J]. The limit case, Rev Math Ibero, 1985, 1(2) :45-121.
  • 10Yaotian Shen, Shusen Yan. Variational methods for quasilinear elliptic equatiuons(in Chinese)[M]. Guang zhou: South China Univ of Tech Press, 1995.

同被引文献6

引证文献5

二级引证文献8

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