Existence of solutions for asymptotically 'linear' p-Laplacian equations

被引:24
|
作者
Liu, S [1 ]
Li, S [1 ]
机构
[1] Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
基金
中国国家自然科学基金;
关键词
D O I
10.1112/S0024609303002546
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Under very general conditions, a proof is given, via Morse theory, of the existence of solutions for asymptotically 'linear' p-Laplacian equations, where the asymptotic limit may be greater than the second eigenvalue. The existence of nonzero solutions is also considered.
引用
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页码:81 / 87
页数:7
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