A quantitative version of the Gidas-Ni-Nirenberg Theorem

被引：4

作者：

Ciraolo, Giulio ^{[1
]}

Cozzi, Matteo ^{[1
]}

Perugini, Matteo ^{[1
]}

Pollastro, Luigi ^{[1
,2
]}

机构：

[1] Univ Milan, Dipartimento Matemat, Via Saldini 50, I-20133 Milan, Italy

[2] Univ Torino, Dipartimento Matemat, Via Carlo Alberto 10, I-10123 Turin, Italy

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2024年 / 287卷 / 09期

关键词：

Gidas-Ni-Nirenberg Theorem; Semilinear problem; Approximate symmetry; ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS; MOVING PLANES; SYMMETRY; MONOTONICITY; STABILITY;

D O I：

10.1016/j.jfa.2024.110585

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页数：29

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