Existence of solutions for singular critical growth semilinear elliptic equations

[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.

[发布日期] 2001-12-10

[关键词] critical growth;critical and nonresonant dimensions;singular elliptic problems