Multiple solutions to some degenerate quasilinear equation with variable exponents via perturbation method

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:458

Article

Aouaoui, Sami¹ 

[1] Inst Super Math Appl & Informat Kairouan, Ave Assad Iben Fourat, Kairouan 3100, Tunisia

关键词: Variable exponents;    Sign-changing solution;    Perturbation method;    Descending flow;    Invariant sets;    Critical points;   

DOI  :  10.1016/j.jmaa.2017.10.028

来源: Elsevier

【 摘 要 】

In this paper, we prove the existence of signed and sign-changing solutions to some degenerate quasilinear and elliptic equation containing a gradient term and involving a variable exponent. Our main idea is to make use of the perturbation method together with invariant sets of descending flow. The fact that the exponent is not constant plays an important role. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free