English

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

Analysis of PDEs 2016-10-11 v1

Abstract

It is established existence and multiplicity of solutions for strongly nonlinear problems driven by the Φ\Phi-Laplacian operator on bounded domains. Our main results are stated without the so called Δ2\Delta_{2} condition at infinity which means that the underlying Orlicz-Sobolev spaces are not reflexive.

Keywords

Cite

@article{arxiv.1610.02662,
  title  = {On Strongly Nonlinear Eigenvalue Problems in the Framework of Nonreflexive Orlicz-Sobolev Spaces},
  author = {Edcarlos D. Silva and Jose V. A. Goncalves and Kaye O. Silva},
  journal= {arXiv preprint arXiv:1610.02662},
  year   = {2016}
}
R2 v1 2026-06-22T16:15:32.333Z