English

Symmetrization for fractional nonlinear elliptic problems

Analysis of PDEs 2022-05-13 v1

Abstract

In this note we prove a new symmetrization result, in the form of mass concentration comparison, for solutions of nonlocal nonlinear Dirichlet problems involving fractional p Laplacians. Some regularity estimates of solutions will be established as a direct application of the main result.

Keywords

Cite

@article{arxiv.2205.05780,
  title  = {Symmetrization for fractional nonlinear elliptic problems},
  author = {Vincenzo Ferone and Bruno Volzone},
  journal= {arXiv preprint arXiv:2205.05780},
  year   = {2022}
}

Comments

Accepted for publication on Discrete and Continuous Dynamical Systems

R2 v1 2026-06-24T11:14:50.112Z