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 language | British English |
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Article number | 2150012 |
Journal | Bulletin of Mathematical Sciences |
DOIs | |
State | Accepted/In press - 2021 |
Keywords
- blow-up
- critical exponent
- Degenerate hyperbolic inequality
- exterior domain