混合局部和非局部p-Laplace方程的一个强极大值原理

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED Asymptotic Analysis Pub Date : 2022-09-07 DOI:10.3233/asy-221803

Bin Shang, Chao Zhang

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引用次数: 1

摘要

我们建立了混合局部和非局部p-拉普拉斯方程−Δ p u +(−Δ) p s u = c (x) | u | p−2u在Ω中的弱解的一个强极大值原理，其中Ω∧R N是一个开集，p∈(1，∞)，s∈(0,1)，c∈c (Ω)。

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A strong maximum principle for mixed local and nonlocal p-Laplace equations

We establish a strong maximum principle for weak solutions of the mixed local and nonlocal p-Laplace equation − Δ p u + ( − Δ ) p s u = c ( x ) | u | p − 2 u in Ω , where Ω ⊂ R N is an open set, p ∈ ( 1 , ∞ ), s ∈ ( 0 , 1 ) and c ∈ C ( Ω ‾ ).

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来源期刊

Asymptotic Analysis 数学-应用数学

CiteScore

1.90

自引率

7.10%

发文量

审稿时长

6 months

期刊介绍： The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other hand. Asymptotic Analysis thus provides mathematicians with a concentrated source of newly acquired information which they may need in the analysis of asymptotic problems.