On the Existence of Boundary Blow-up Solutions for a General Class of Quasilinear Elliptic Systems

Autor:	Rym Chemmam, Paul Sauvy, Sonia Ben Othman
Rok vydání:	2014
Předmět:	Pure mathematics Class (set theory) Elliptic systems General Mathematics Boundary (topology) Statistical and Nonlinear Physics Mathematics
Zdroj:	Advanced Nonlinear Studies. 14:1013-1035
ISSN:	2169-0375 1536-1365
DOI:	10.1515/ans-2014-0411
Popis:	In this paper, we investigate the following quasilinear elliptic system (P) with explosive boundary conditions: Δpu = f1(x, u, v) in Ω; u|∂Ω = +∞, u >0 in Ω, Δqv = f2(x, u, v) in Ω; v|∂Ω = +∞, v >0 in Ω, where Ω is a smooth bounded domain of ℝN, N ≥ 2, 1 < p, q < +∞ and f1, f2 are two Carathéodory functions in Ω × (ℝ+* × ∗ ℝ+*). Under rather general conditions on f1 and f2 and assuming the existence of a sub and supersolutions pair, we prove the existence of a large solution to (P) by a fixed point approach. Then, we apply this result considering particular systems arising in Biology.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::75981a8ecdddea9887235af2ebb95c7c https://doi.org/10.1515/ans-2014-0411 Zobrazit plný text záznamu