Liouville-type theorems for partial trace equations with nonlinear gradient terms

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-10-30 DOI:10.1016/j.jmaa.2024.129010

Bukayaw Kindu , Ahmed Mohammed , Birilew Tsegaw

引用次数: 0

Abstract

In this paper, we will study various Liouville-type theorems for partial trace equations with nonlinear gradient terms. Specifically, we will provide sufficient conditions for non-negative viscosity subsolutions of these equations in

R^{n}

to vanish identically. For a prototype of such equations, we will give necessary and sufficient conditions for non-negative subsolutions in

R^{n}

to be identically zero.

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具有非线性梯度项的偏微分方程的柳维尔型定理

本文将研究具有非线性梯度项的偏微分方程的各种 Liouville 型定理。具体来说，我们将为这些方程在 Rn 中的非负粘性子解提供同值消失的充分条件。对于此类方程的一个原型，我们将给出 Rn 中非负值子解同值为零的必要和充分条件。

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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