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

一类带奇异系数椭圆方程解的存在性 被引量：5

Existence of Solutions for an Elliptic Equation with Singular Coefficients
下载PDF
导出
摘要 本文运用变分方法及Hardy不等式讨论了一类带奇异系数的临界椭圆方程 。 In this paper,we discuss a critical elliptic equation with singular coefficients by variational methods and Hardy inequality,obtain some existence results of solutions under certain conditions.
作者 康东升 邓引斌
机构地区 华中师范大学数学系
出处 《应用数学》 CSCD 北大核心 2002年第3期8-12,共5页 Mathematica Applicata
基金 国家自然科学基金资助项目 (10 1710 36 )
关键词 临界椭圆方程 HARDY不等式 奇异系数 解 存在性 Critical elliptic equation Hardy inequality Singular coefficient Existence of solution.
分类号 O175.25 [理学—基础数学]
  • 相关文献

参考文献8

  • 1[1]Jannelli E. The role played by space dimension in elliptic critical problems[J]. J Diff Equs,1999,156(2):407～426.
  • 2[2]Garcia Azorero J, Peral Alonso I. Hardy inequalities and some critical elliptic parabolic problems [J]. J Diff Equs, 1998,144 (2) :441 ～476.
  • 3[3]Ghoussoub N,Yang C. Multiple solutions for quasi-linear PDEs involving the critical sobolev and Hardy exponents[J]. Trans Amer Math Soc, 2000,352 (12): 5703 ～ 5743.
  • 4[4]Cheng Ting. Existence of minimal positive solution for-△μ- μ /μ|x|2 = u2* -1 +σf(x). J Central China Normal University[J]. 2001,35 (2) : 136 ～ 140.
  • 5[5]Brezis H, Nirenberg L. Positive solutions of nonlinear elliptic equations involving critical sobolev expo nents[J]. Comm Pure Appl Math, 1983,36(3): 437～477. ＇
  • 6[6]Struwe M. Variational Methods[M]. Berlin:Springer-Verlag,1996.
  • 7[7]Deng Yinbin,Li Yi. Existence and bifurcation of the positive solutions for a semilinear elliptic equation with critical exponent[J]. J Diff Equs, 1996,130(1) : 1 79～200.
  • 8[8]Deng Yinbin. Existence of multiple positive solutions of inhomogeneous semilinear elliptic problem invol ving critical exponents[J]. Comm PDE, 1992,17 (1): 33～53.

同被引文献15

  • 1孟凡伟,唐秋晶.ASYMPTOTIC BEHAVIOR AND OSCILLATIONS OF SECOND ORDER INTEGRO-DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENT[J].Annals of Differential Equations,2004,20(4):385-395. 被引量：7
  • 2Kang D.Solutions for semilinear elliptic equations with critical Sobolev and Hardy terms[J].J South-Central University For Nationalities,2006,25(2):94-97.
  • 3Ghoussoub N,Yuan C.Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents[J].Trans Amer Math Soc,2000,(352):5703-5743.
  • 4Chaudhuri N. Existence of positive solutions of some semilinear elliptic equations with singular coefficients [ J].Proc Roy Soc Edinb See,2001,131 :1 275 - 1 295.
  • 5Jannelli E. The role played by space dimension in elliptic critical problems [ J]. J Partial Equation, 1999,156(2) :407 - 426.
  • 6Brezis H,Nirenberg L. Positive solutions of nonlinear elliptic equation involving critical Sobolev exponents [ J].Comm Pure Appl Math, 1983,36:437 -447.
  • 7Jannelli E. The role played by space dimension in elliptic critical problems[J]. J Differential Equations,1999;156:407-426
  • 8Egnell H. Elliptic boundary value problems with singular coefficients and critical nonlinearities[J]. Indiana Univ Math J, 1989;38:235-251
  • 9Ferrero A, Gazzola F. Existence of solutions for singular critical growth semilinear elliptic equations[J]. J Differential Equations, 2001;177:494-522
  • 10Brezis H, Nirenberg N. Positive solution of nonlinear elliptic equations involving critical Sobolev exponent[J]. Comm Pure Appl Math, 1983;36:437-477

引证文献5

二级引证文献4

应用数学
2002年 第3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