Multiple solutions for the coercive semilinear elliptic equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:487

Article

Chen, Yutong¹  Su, Jiabao¹  Sun, Mingzheng²  Tian, Rushun¹ 

[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

[2] North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China

关键词: Multiple solution;    Bifurcation;    Minimax;    Conley index;   

DOI  :  10.1016/j.jmaa.2020.124031

来源: Elsevier

【 摘 要 】

In this paper we study the semilinear elliptic equations {-Delta u = f(x, u), x is an element of Omega, u = 0, x is an element of partial derivative Omega, where Omega subset of R-N is a smooth bounded domain. By using the minimax methods, bifurcation methods, Conley index theory and Morse theory, we obtain six nontrivial solutions for the equations with coercive nonlinearities. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free