arXiv subjects

Jose V. A. Goncalves

Publications and source records attributed to Jose V. A. Goncalves.

2 recordsLinked to original sources

arXiv2016

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

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

math.AP↗

arXiv2016

Sign changing solutions for quasilinear superlinear elliptic problems

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.

math.AP↗