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

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• 作者：Mingqi Xiang^a ; ^b ; ^{xiangmingqi_hit@163.com} ; Fuliang Wang^a ; ^{flwang@cauc.edu.cn} ; Binlin Zhang^c ; ^{zhangbinlin2012@163.com}
• 关键词：p(x)p(x)-curl systems ; Variational methods ; Ground state solutions
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：15 April 2017
• 年：2017
• 卷：448
• 期：2
• 页码：1600-1617
• 全文大小：419 K
• 卷排序：448

文摘

In this paper, we study the existence and multiplicity of solutions to a class of p(x)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.