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arxiv: 1409.0140 · v1 · submitted 2014-08-30 · 🧮 math.AP

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Multiple solutions for a class of quasilinear problems involving variable exponents

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keywords classexponentsinvolvingproblemsquasilinearsolutionsvariabledirect
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In this paper we prove the multiplicity of solutions for a class of quasilinear problems in $ \mathbb{R}^{N} $ involving variable exponents. The main tool used is in the proof are the direct methods, Ekeland's variational principle and some properties related to Nehari manifold.

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