The existence of positive solutions for a class of indefinite weight semilinear elliptic problems with critical Sobolev exponent

被引:0
作者
Ko, B [1 ]
机构
[1] Cheju Natl Univ, Educ Res Inst, Dept Math Educ, Cheju City, South Korea
来源
TAIWANESE JOURNAL OF MATHEMATICS | 2004年 / 8卷 / 01期
关键词
indefinite weight semilinearproblems; positive solutions; critical Soboler exponent; Nehari manifold; implicit function theorem; Ekeland's variational principle;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove the existence of classical positive solutions for a class of indefinite weight semilinear elliptic partial defferential equations on the homogeneous Dirichlet boundary conditions and with that the growth of the perturbation is critical Solboler exponent.
引用
收藏
页码:71 / 83
页数:13
相关论文
共 6 条
[1]   On principal eigenvalues for boundary value problems with indefinite weight and Robin boundary conditions [J].
Afrouzi, GA ;
Brown, KJ .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 127 (01) :125-130
[2]   POSITIVE SOLUTIONS OF NON-LINEAR ELLIPTIC-EQUATIONS INVOLVING CRITICAL SOBOLEV EXPONENTS [J].
BREZIS, H ;
NIRENBERG, L .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1983, 36 (04) :437-477
[3]  
GHOUSSOUB N, 1993, DUALITY PERTURBATION
[4]  
Gilbarg D., 1977, Grundlehren der mathematischen Wissenschaften, V224
[5]   The existence of positive solutions for a class of indefinite weight semilinear elliptic boundary value problems [J].
Ko, B ;
Brown, K .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 39 (05) :587-597
[6]  
Pohozaev S. I., 1965, SOV MATH DOKL, V6, P1408