外域上退化双曲不等式的一般爆破结果

IF 1.1 2区数学 Q1 MATHEMATICS

Bulletin of Mathematical Sciences Pub Date : 2021-11-06 DOI:10.1142/s1664360721500120

M. Jleli, M. Kirane, B. Samet

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引用次数: 1

摘要

在dirichlet型、neumann型和robin型三种边界条件下，我们考虑了外域上的退化双曲不等式。使用统一的方法，我们证明了所有考虑的问题都具有相同的藤田临界指数。此外，我们从文献中回答了一些关于临界情况的开放性问题。

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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A general blow-up result for a degenerate hyperbolic inequality in an exterior domain

In this paper, we consider a degenerate hyperbolic inequality in an exterior domain under three types of boundary conditions: Dirichlet-type, Neumann-type, and Robin-type boundary conditions. Using a unified approach, we show that all the considered problems have the same Fujita critical exponent. Moreover, we answer some open questions from the literature regarding the critical case.

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来源期刊

Bulletin of Mathematical Sciences MATHEMATICS-

CiteScore

2.10

自引率

0.00%

发文量

审稿时长

13 weeks

期刊介绍： The Bulletin of Mathematical Sciences, a peer-reviewed, open access journal, will publish original research work of highest quality and of broad interest in all branches of mathematical sciences. The Bulletin will publish well-written expository articles (40-50 pages) of exceptional value giving the latest state of the art on a specific topic, and short articles (up to 15 pages) containing significant results of wider interest. Most of the expository articles will be invited. The Bulletin of Mathematical Sciences is launched by King Abdulaziz University, Jeddah, Saudi Arabia.