LEAST ENERGY SOLUTIONS FOR CRITICAL GROWTH EQUATIONS WITH A LOWER ORDER PERTURBATION

被引：0
作者：
Ferrero, Alberto [1 ]
机构：
[1] Univ Pisa, Dipartimento Matemat, I-56127 Pisa, Italy
来源：
ADVANCES IN DIFFERENTIAL EQUATIONS | 2006年 / 11卷 / 10期
关键词：
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study existence and nonexistence of least energy solutions of a quasilinear critical growth equation with degenerate m-Laplace operator in a bounded domain in R-n with n > m > 1. Existence and nonexistence of solutions of this problem depend on a lower order perturbation and on the space dimension n. Our proofs are obtained with critical point theory and the lack of compactness, due to critical growth condition, is overcome by constructing minimax levels in a suitable compactness range.
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页码：1167 / 1200
页数：34
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