English

Concave solutions to Finsler $p$-Laplace type equations

Analysis of PDEs 2024-04-23 v3

Abstract

We prove concavity properties for solutions to anisotropic quasi-linear equations, extending previous results known in the Euclidean case. We focus the attention on nonsmooth anisotropies and in particular we also allow the functions describing the anisotropies to be not even.

Keywords

Cite

@article{arxiv.2308.05069,
  title  = {Concave solutions to Finsler $p$-Laplace type equations},
  author = {Sunra Mosconi and Giuseppe Riey and Marco Squassina},
  journal= {arXiv preprint arXiv:2308.05069},
  year   = {2024}
}

Comments

30 pages, revised version