English

Uniform bound for the volume of the solutions of elliptic equations

Analysis of PDEs 2023-08-02 v2

Abstract

We consider variational problems with regular H{\"o}lderian weight or boundary singularity, and Dirichlet condition. We prove the boundedness of the volume of the solutions to these equations on analytic domains.

Keywords

Cite

@article{arxiv.2307.07425,
  title  = {Uniform bound for the volume of the solutions of elliptic equations},
  author = {Samy Skander Bahoura},
  journal= {arXiv preprint arXiv:2307.07425},
  year   = {2023}
}