A quantitative version of the Gidas-Ni-Nirenberg Theorem
Analysis of PDEs
2024-07-19 v2
Abstract
A celebrated result by Gidas, Ni & Nirenberg asserts that classical positive solutions to semilinear equations in a ball vanishing at the boundary must be radial and radially decreasing. In this paper we consider small perturbations of this equation and study the quantitative stability counterpart of this result.
Keywords
Cite
@article{arxiv.2308.00409,
title = {A quantitative version of the Gidas-Ni-Nirenberg Theorem},
author = {Giulio Ciraolo and Matteo Cozzi and Matteo Perugini and Luigi Pollastro},
journal= {arXiv preprint arXiv:2308.00409},
year = {2024}
}