Multiple solutions to a class of electromagnetic p(x)-curl systems

被引:0
作者
Gang-Ling Hou
Bin Ge
Bei-Lei Zhang
Li-Yan Wang
机构
[1] Harbin Engineering University,College of Aerospace and Civil Engineering
[2] Harbin Engineering University,School of Mathematical Sciences
[3] Harbin Institute of Technology,School of Mathematical Sciences
来源
Indian Journal of Pure and Applied Mathematics | 2021年 / 52卷
关键词
(; )-curl systems; Variable exponent Sobolev space; Variational methods; Multiple solutions; MSC 35J60; 35J91; 58E30;
D O I
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中图分类号
学科分类号
摘要
In this paper, we obtain the existence of at least two nontrivial solutions for a class of p(x)-curl systems arising in electromagnetism. Some new criteria to guarantee that the existence of at least two solutions for the considered problem is established by using the variational approach in critical point theory, which extend and complement previously known results in the literature.
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页码:125 / 137
页数:12
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