Existence of solutions for singular critical growth semilinear elliptic equations

被引：279

作者：

Ferrero, A ^{[1
]}

Gazzola, F ^{[1
]}

机构：

[1] Dipartimento Sci & TA, I-15100 Alessandria, Italy

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2001年 / 177卷 / 02期

关键词：

critical growth; critical and nonresonant dimensions; singular elliptic problems;

D O I：

10.1006/jdeq.2000.3999

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A semilinear elliptic problem containing both a singularity and a critical growth term is considered in a bounded domain of R-n: existence results are obtained by variational methods. The solvability of the problem depends on the space dimension n and on the coefficient of the singularity the results obtained describe the behavior of critical dimensions and nonresonant dimensions when the Brezis-Nirenberg problem is modified with a singular term. (C) 2001 Academic Press.

引用

页码：494 / 522

页数：29

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