Multiple solutions for a class of semilinear elliptic problems with Robin boundary condition

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:388

Article

Zhang, Jing^1,2  Li, Shujie^2,3  Xue, Xiaoping¹ 

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China

[2] Harbin Normal Univ, YY Tseng Funct Anal Res Ctr, Harbin 150025, Heilongjiang, Peoples R China

[3] Acad Sinica, Acad Math & Syst Sci, Beijing 100000, Peoples R China

关键词: Solvability;    Robin boundary value problems;    Jumping nonlinearity;    Fucik spectrum;    Morse theory;   

DOI  :  10.1016/j.jmaa.2011.09.066

来源: Elsevier

【 摘 要 】

In this paper, we show the existence of at least four nontrivial solutions for a class of semilinear elliptic problems with Robin boundary condition and jumping nonlinearities. Solvability of oscillating equations with Robin boundary condition is also investigated. We prove the conclusions by using sub-super-solution method, Fucik spectrum theory, mountain pass theorem in order intervals and Morse theory. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free