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arXiv · 1703.08592

Multiplicity of solutions for a nonhomogeneous quasilinear elliptic problem with critical growth

M. L. M. Carvalho·J. V. Goncalves·C. Goulart·O. H. Miyagaki
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Abstract

It is established some existence and multiplicity of solution results for a quasilinear elliptic problem driven by $Φ$-Laplacian operator. One of these solutions is built as a ground state solution. In order to prove our main results we apply the Nehari method combined with the concentration compactness theorem in an Orlicz-Sobolev framework. One of the difficulties in dealing with this kind of operator is the lost of homogeneity properties.

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M. L. M. Carvalho, J. V. Goncalves, C. Goulart, O. H. Miyagaki. 2017-03-24. Multiplicity of solutions for a nonhomogeneous quasilinear elliptic problem with critical growth. https://arxiv.org/abs/1703.08592

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