Published Paper

Inserted: 19 jul 2024
Last Updated: 17 oct 2024

Journal: Journal of Functional Analysis
Year: 2024

Abstract:

A celebrated result by Gidas, Ni & Nirenberg asserts that classical positive solutions to semilinear equations −Δu=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.