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arXiv · 1610.02525

Sign changing solutions for quasilinear superlinear elliptic problems

E. D. Silva·M. L. M. Carvalho·F. J. S. A. Corrêa·Jose V. A. Goncalves
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Abstract

Results on existence and multiplicity of solutions for a nonlinear elliptic problem driven by the $Φ$-Laplace operator are established. We employ minimization arguments on suitable Nehari manifolds to build a negative and a positive ground state solutions. In order to find a nodal solution we employ additionally the well known Deformation Lemma and Topological Degree Theory.

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E. D. Silva, M. L. M. Carvalho, F. J. S. A. Corrêa, Jose V. A. Goncalves. 2016-10-08. Sign changing solutions for quasilinear superlinear elliptic problems. https://arxiv.org/abs/1610.02525

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