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arXiv · 1501.06224

Multiplicity of solutions for a class of quasilinear equations involving critical Orlicz-Sobolev nonlinear term

Jefferson A. Santos
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Abstract

In this work, we study the existence and multiplicity of solutions for a class of problems involving the $ϕ$-Laplacian operator in a bounded domain, where the nonlinearity has a critical growth. The main tool used is the variational method combined with the genus theory for even functionals.

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Jefferson A. Santos. 2015-01-26. Multiplicity of solutions for a class of quasilinear equations involving critical Orlicz-Sobolev nonlinear term. https://arxiv.org/abs/1501.06224

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