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

Mohamed Jleli, Mokhtar Kirane, Bessem Samet

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

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.

Original languageBritish English
Article number2150012
JournalBulletin of Mathematical Sciences
DOIs
StateAccepted/In press - 2021

Keywords

  • blow-up
  • critical exponent
  • Degenerate hyperbolic inequality
  • exterior domain

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