A quantitative version of the Gidas-Ni-Nirenberg Theorem

A celebrated result by Gidas, Ni & Nirenberg asserts that classical positive solutions to semilinear equations $- \Delta u = f(u)$ 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...

Full description

Saved in:

Bibliographic Details
Main Authors:	Ciraolo, Giulio, Cozzi, Matteo, Perugini, Matteo, Pollastro, Luigi
Format:	Journal Article
Language:	English
Published:	01-08-2023
Subjects:	Mathematics - Analysis of PDEs
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	A celebrated result by Gidas, Ni & Nirenberg asserts that classical positive solutions to semilinear equations $- \Delta u = f(u)$ 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.
DOI:	10.48550/arxiv.2308.00409