English

Multiplicity of Solutions for Quasilinear Elliptic Problems

Analysis of PDEs 2017-09-19 v1

Abstract

It is established existence, uniqueness and multiplicity of solutions for a quasilinear elliptic problem problems driven by Φ\Phi-Laplacian operator. Here we consider the reflexive and nonreflexive cases using an auxiliary problem. In order to prove our main results we employ variational methods, regularity results and truncation techniques.

Keywords

Cite

@article{arxiv.1709.05530,
  title  = {Multiplicity of Solutions for Quasilinear Elliptic Problems},
  author = {M. L. M. Carvalho and J. V. Goncalves and Edcarlos D. da Silva and K. O. Silva},
  journal= {arXiv preprint arXiv:1709.05530},
  year   = {2017}
}