Some eigenvalue problems involving the (p(x),q(x))-Laplacian

Juan Alcon Apaza

Some eigenvalue problems involving the (p(x),q(x))-Laplacian

Analysis of PDEs 2022-09-20 v3 Functional Analysis

Authors: Juan Alcon Apaza

Abstract

In this work, we are concerned with a Robin and Neumann problem with (p(x),q(x))-Laplacian. Under some appropriate conditions on the data involved in the elliptic problem, we prove the existence of solutions applying two versions of Mountain Pass theorem, Ekeland's variational principle and Lagrange multiplier rule.

Keywords

elliptic partial differential equations

Cite

@article{arxiv.2209.02682,
  title  = {Some eigenvalue problems involving the (p(x),q(x))-Laplacian},
  author = {Juan Alcon Apaza},
  journal= {arXiv preprint arXiv:2209.02682},
  year   = {2022}
}

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