Three solutions to a Steklov problem involving the weighted p(.)-Laplacian

Ismail Aydin; Cihan Unal

Three solutions to a Steklov problem involving the weighted p(.)-Laplacian

Analysis of PDEs 2020-05-22 v1 Functional Analysis

Authors: Ismail Aydin , Cihan Unal

Abstract

This paper is concerned with a nonlinear Steklov boundary-value problem involving weighted $p(.)$ -Laplacian. Using the Ricceri's variational principle, we obtain the existence of at least three weak solutions in double weighted variable exponent Sobolev space.

Keywords

Steklov problem weighted p(.)-Laplacian variational principle weak solutions variable exponent Sobolev space

Cite

@article{arxiv.2005.10344,
  title  = {Three solutions to a Steklov problem involving the weighted p(.)-Laplacian},
  author = {Ismail Aydin and Cihan Unal},
  journal= {arXiv preprint arXiv:2005.10344},
  year   = {2020}
}

Comments

11 pages

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