带有奇异项的临界增长p-Laplace方程的非平凡解  

EXISTENCE OF NONTRIVIAL SOLUTION IN SINGULAR p-LAPLACE POBLEMS WITH CRITICAL GROWTH

作　　者：杨舟[1] 耿堤[1] 严慧文[1] 

机构地区：[1]华南师范大学数学系,广东广州510631

出　　处：《数学杂志》2006年第5期551-562,共12页Journal of Mathematics

基　　金：国家自然科学基金资助项目(10371045;10426015) .

摘　　要：本文研究了一种带有奇异项的临界增长p-Laplace方程在N维空间中的有界集上非平凡解的问题,利用山路引理和集中紧性原理,得出方程在非线性项满足一定条件下有非平凡解的结果.In the paper, we consider the existence of non-trivial solution to the singular p-Laplace problem with critical growth in a bounded domain of N-dimension space, We get the existence while the nonlinear term satisfies some assumptions by Mountainpass theorem concentraction-compactness principle.

关 键 词：P-LAPLACE算子 临界增长 集中紧性原理 弱连续性 

分 类 号：O175.25[理学—数学]