Existence and multiplicity of solutions for p(x)-curl systems arising in electromagnetism

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:448

Article

Xiang, Mingqi^1,2  Wang, Fuliang¹  Zhang, Binlin³ 

[1] Civil Aviat Univ China, Tianjin Key Lab Adv Signal Proc, Tianjin, Peoples R China

[2] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China

[3] Heilongjiang Inst Technol, Dept Math, Harbin 150050, Peoples R China

关键词: p(x)-curl systems;    Variational methods;    Ground state solutions;   

DOI  :  10.1016/j.jmaa.2016.11.086

来源: Elsevier

【 摘 要 】

In this paper, we study the existence and multiplicity of solutions to a class of p(x)-curl systems arising in electromagnetism. The results obtained in this paper extend several contributions concerning the p-curl operator and we focus on new existence results which are due to the presence of variable exponent. To our best knowledge, our results are new even in the semilinear case. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free