关于一些椭圆系统的唯一连续性原理

IF 1.8 1区数学 Q1 MATHEMATICS, APPLIED

Annales De L Institut Henri Poincare-Analyse Non Lineaire Pub Date : 2021-09-01 DOI:10.1016/j.anihpc.2020.12.001

Ederson Moreira dos Santos , Gabrielle Nornberg , Nicola Soave

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引用次数: 4

摘要

本文证明了一类满足适当超线性条件的椭圆型偏微分方程组的唯一延拓原理。作为一个应用，我们得到了球中Lane-Emden系统在临界和超临界状态下不存在非平凡（不一定是正）径向解。我们的一些结果也适用于一般的全非线性算子，例如Pucci的极值算子，即使对于标量方程也是新的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On unique continuation principles for some elliptic systems

In this paper we prove unique continuation principles for some systems of elliptic partial differential equations satisfying a suitable superlinearity condition. As an application, we obtain nonexistence of nontrivial (not necessarily positive) radial solutions for the Lane-Emden system posed in a ball, in the critical and supercritical regimes. Some of our results also apply to general fully nonlinear operators, such as Pucci's extremal operators, being new even for scalar equations.

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来源期刊

Annales De L Institut Henri Poincare-Analyse Non Lineaire 数学-应用数学

CiteScore

4.10

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： The Nonlinear Analysis section of the Annales de l''Institut Henri Poincaré is an international journal created in 1983 which publishes original and high quality research articles. It concentrates on all domains concerned with nonlinear analysis, specially applicable to PDE, mechanics, physics, economy, without overlooking the numerical aspects.