New existence results for singular solutions of some semilinear elliptic equations

被引：3

作者：

Fakhi, S ^{[1
]}

机构：

[1] Univ Paris 12, Fac Sci & Technol, Dept Math, CMP, F-94010 Creteil, France

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2000年 / 25卷 / 9-10期

关键词：

D O I：

10.1080/03605300008821562

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let Omega be a smooth open bounded subset of R-n with n greater than or equal to 4. Given Sigma subset of Omega any closed, smooth k-dimensionnl submanifold, 1 less than or equal to k < n - 2, with smooth boundary, we prove the existence of infinitly many positive weak solutions of [GRAPHICS] whose singular set is Sigma, provided the exponent p is larger than and close to n-k/n-2-k.

引用

页码：1649 / 1668

页数：20

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