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arXiv · 1610.02662

On Strongly Nonlinear Eigenvalue Problems in the Framework of Nonreflexive Orlicz-Sobolev Spaces

Edcarlos D. Silva·Jose V. A. Goncalves·Kaye O. Silva
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Abstract

It is established existence and multiplicity of solutions for strongly nonlinear problems driven by the $\Phi$-Laplacian operator on bounded domains. Our main results are stated without the so called $\Delta_{2}$ condition at infinity which means that the underlying Orlicz-Sobolev spaces are not reflexive.

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Edcarlos D. Silva, Jose V. A. Goncalves, Kaye O. Silva. 2016-10-09. On Strongly Nonlinear Eigenvalue Problems in the Framework of Nonreflexive Orlicz-Sobolev Spaces. https://arxiv.org/abs/1610.02662

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