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

EXISTENCE OF MULTIPLE SOLUTIONS FOR SINGULAR QUASILINEAR ELLIPTIC SYSTEM WITH CRITICAL SOBOLEV-HARDY EXPONENTS AND CONCAVE-CONVEX TERMS 被引量：6

EXISTENCE OF MULTIPLE SOLUTIONS FOR SINGULAR QUASILINEAR ELLIPTIC SYSTEM WITH CRITICAL SOBOLEV-HARDY EXPONENTS AND CONCAVE-CONVEX TERMS
下载PDF
导出
摘要 The main purpose of this paper is to establish the existence of multiple solutions for singular elliptic system involving the critical Sobolev-Hardy exponents and concave-convex nonlinearities. It is shown, by means of variational methods, that under certain conditions, the system has at least two positive solutions. The main purpose of this paper is to establish the existence of multiple solutions for singular elliptic system involving the critical Sobolev-Hardy exponents and concave-convex nonlinearities. It is shown, by means of variational methods, that under certain conditions, the system has at least two positive solutions.
作者 李圆晓 高文杰
机构地区 College of Science Institute of Mathematics
出处 《Acta Mathematica Scientia》 SCIE CSCD 2013年第1期107-121,共15页 数学物理学报（B辑英文版）
基金 supported by NSFC(10771085) Key Lab of Symbolic Computation and Knowledge Engineering of Ministry of Education the 985 Program of Jilin University
关键词 singular elliptic system concave-convex nonlinearities positive solution Nehari manifold critical Sobolev-Hardy exponent singular elliptic system concave-convex nonlinearities positive solution Nehari manifold critical Sobolev-Hardy exponent
分类号 O175 [理学—基础数学]
  • 相关文献

参考文献1

二级参考文献32

  • 1Abdellaoui B, Felli V, Peral I. Existence and multiplicity for perturbations of an equation involving Hardy inequality and critical Sobolev exponent in the whole R^N. Adv Differ Equ, 2004, 9:481-508.
  • 2Alves C O, de Morais Filho D C, Souto M A S. On systems of elliptic equations involving subcritical or critical Sobolev exponents. Nonlinear Anal, 2000, 42:771 787.
  • 3Ambrosetti A, Garcia J, Peral I. Multiplicity results for some nonlinear elliptic equations. J Funct Anal, 1996, 137:219- 242.
  • 4Barstch T, Willem M. On a elliptic equation with concave and convex nonlinearities. Proc Amer Math Soc, 1995, 123:3555-3561.
  • 5Brezis H, Lieb E. A relation between pointwise convergence of functions and convergence of functionals. Proc Amer Math Soc, 1983, 88:486-490.
  • 6Brezis H, Nirenberg L. Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Commun Pure Appl Math, 1983, 36:437- 477.
  • 7Brown K J, Zhang Y. The Nehari manifold for a semilinear elliptic equation with a sign-changing weigh function. J Differ Equ, 2003, 193:481-499.
  • 8Brown K J, Wu T F. A semilinear elliptic system involving nonlinear boundary condition and sign-changing weigh function. J Math Anal Appl, 2008, 337:1326- 1336.
  • 9Cao D, Han P. Solutions for semilinear elliptic equations with critical exponents and Hardy potentials. J Differ Equ, 2004, 205:521-537.
  • 10Cao D, Han P. Solutions to critical elliptic equations with muti-sigular inverse square potentials. J Differ Equ, 2006, 224:332-372.

共引文献8

同被引文献15

引证文献6

二级引证文献6

Acta Mathematica Scientia
2013年 第1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