## 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.

### MSC:

 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
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### References:

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