Fucik spectrum, sign-changing and multiple solutions for semilinear elliptic boundary value problems with jumping nonlinearities at zero and infinity
Fucik spectrum, sign-changing and multiple solutions for semilinear elliptic boundary value problems with jumping nonlinearities at zero and infinity作者机构：1. Institute of Mathematics Academy of Mathematics and Systems Science Chinese Academy of Sciences 100080 Beijing China
出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)
年 卷 期：2001年第44卷第7期
页 面：856-866页
核心收录：
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金：This work was supported by the Australian Research Council and the National Natural Science Foundation of China (Grant No. 2178200) the Foundation of State Education Commission for Returned Overseas Scholars
主 题：Fucik spectrum Critical points Critical groups Sign-changing solutions Dirichlet problems Jumping nonlinearities
摘 要：In this paper,Fucik spectrum,ordinary differential equation theory of Banach spaces and Morse theory are used to study semilinear elliptic boundary value problems with jumping nonlinearities at zero or infinity,and some new results on the existence of nontrivial solutions,multiple solutions and sign-changing solutions are *** one case seven nontrivial solutions are *** techniques have independent interest.
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