Existence of two solutions for \(p(x)\)-curl systems with a small perturbation. (English) Zbl 1427.78028

Summary: In this paper, we study the existence of at least two non-trivial solution for a class of \(p(x)\)-curl systems with a small perturbation. We provide one new criterion to ensure the existence of two solutions. Recent results in the literature are extended and significantly improved.


78M30 Variational methods applied to problems in optics and electromagnetic theory
35Q60 PDEs in connection with optics and electromagnetic theory
35J20 Variational methods for second-order elliptic equations
35J70 Degenerate elliptic equations
76W05 Magnetohydrodynamics and electrohydrodynamics
76A05 Non-Newtonian fluids
78A30 Electro- and magnetostatics
Full Text: DOI Euclid


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