A general blow-up result for a degenerate hyperbolic inequality in an exterior domain-Reference-Cited by-同舟云学术

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

Published:2021-11-06 Issue: Volume: Page:
ISSN:1664-3607
Container-title:Bulletin of Mathematical Sciences
language:en
Short-container-title:Bull. Math. Sci.

Author:

Jleli Mohamed¹,Kirane Mokhtar²³^ORCID,Samet Bessem¹

Affiliation:

1. Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

2. Department of Mathematics, Faculty of Arts and Science, Khalifa University, P.O. Box 127788, Abu Dhabi, UAE

3. Nonlinear Analysis and Applied Mathematics (NAAM), Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Abstract

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.

Funder

Saudi Arabian Cultural Mission

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1664360721500120

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