Existence of two solutions for $p(x)$-curl systems with a small perturbation

Bin Ge; Xue-Lin Gui; De-Jing Lv

doi:10.1216/RMJ-2019-49-6-1877

Abstract

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.

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Bin Ge. Xue-Lin Gui. De-Jing Lv. "Existence of two solutions for $p(x)$-curl systems with a small perturbation." Rocky Mountain J. Math. 49 (6) 1877 - 1894, 2019. https://doi.org/10.1216/RMJ-2019-49-6-1877

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Published: 2019

First available in Project Euclid: 3 November 2019

zbMATH: 07136584

MathSciNet: MR4027239

Digital Object Identifier: 10.1216/RMJ-2019-49-6-1877

Subjects:

Primary: 35J20 , 35J70. , 35Q60 , 78M30

Keywords: $p(x)$-curl systems , multiple solutions , variable exponent Sobolev space , variational methods

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