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arXiv · 2308.00409

A quantitative version of the Gidas-Ni-Nirenberg Theorem

Giulio Ciraolo·Matteo Cozzi·Matteo Perugini·Luigi Pollastro
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Abstract

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.

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Giulio Ciraolo, Matteo Cozzi, Matteo Perugini, Luigi Pollastro. 2023-08-01. A quantitative version of the Gidas-Ni-Nirenberg Theorem. https://arxiv.org/abs/2308.00409

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