障碍问题解的全局可积性

IF 0.3 4区数学 Q4 MATHEMATICS, APPLIED

Journal of Partial Differential Equations Pub Date : 2022-06-01 DOI:10.4208/jpde.v35.n4.2

Yanan Shan null, Hongya Gao

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引用次数: 0

摘要

。表示v≥ψ， a.e.和v - θ p Ω) o，其中ψ是Ω∧R N, N≥2中的任意函数，其值在R∪{±∞}中，θ是可测函数。本文研究了u∈K ψ， θ的整体可积性，使得|A (x， ξ) |≈| ξ | p−1,1 < p < N。得到了一些全局可积性的结果。

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Global Integrability for Solutions to Obstacle Problems

. Denote v ≥ ψ , a.e. and v − θ p Ω ) o where ψ is any function in Ω ⊂ R N , N ≥ 2, with values in R ∪{± ∞ } and θ is a measurable function. This paper deals with global integrability for u ∈K ψ , θ such that with |A ( x , ξ ) |≈| ξ | p − 1 , 1 < p < N . Some global integrability results are obtained.

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来源期刊

Journal of Partial Differential Equations MATHEMATICS, APPLIED-

自引率

33.30%

发文量

551