Semilinear Elliptic Resonant Problems at Higher Eigenvalue with Unbounded Nonlinear Terms

作     者：Su Jiabao Institute of Mathematics, Academia Sinica, Beijing 100080, China Department of Mathematics. Capital Normal University, Beijing 100037, China 

作者机构：Institute of Mathematics Academia Sinica 100080 Beijing China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：1998年第14卷第3期

页      面：411-418页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Math Semilinear Elliptic Resonant Problems at Higher Eigenvalue with Unbounded Nonlinear Terms 

摘      要：In this paper we study the existence of nontrivial solutions of a class of asymptotically linear elliptic resonant problems at higher eigenvalues with the nonlinear term which may be un- bounded by making use of the Morse theory for a C^2-function at both isolated critical point and infinity.