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

Gang-Ling Hou, Bin Ge (), Bei-Lei Zhang and Li-Yan Wang
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Gang-Ling Hou: Harbin Engineering University
Bin Ge: Harbin Engineering University
Bei-Lei Zhang: Harbin Institute of Technology
Li-Yan Wang: Harbin Institute of Technology

Indian Journal of Pure and Applied Mathematics, 2021, vol. 52, issue 1, 125-137

Abstract: Abstract 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.

Keywords: p(x)-curl systems; Variable exponent Sobolev space; Variational methods; Multiple solutions; MSC 35J60; 35J91; 58E30 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s13226-021-00075-y

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