TY  - JOUR
AU  - García-Melián, J.
AU  - Rossi, J.D.
AU  - Sabina De Lis, J.C.
T1  - Elliptic systems with boundary blow-up: Existence, uniqueness and applications to removability of singularities
LA  - eng
PY  - 2016
SP  - 549
EP  - 562
T2  - Communications on Pure and Applied Analysis
SN  - 1553-5258
VL  - 15
IS  - 2
PB  - American Institute of Mathematical Sciences
PP  - Springfield
AB  - In this paper we consider the elliptic system Δu = up - vq, Δv = -ur + vs in Ω, where the exponents verify p, s > 1, q, r > 0 and ps > qr, and Ω is a smooth bounded domain of ℝN. First, we show existence and uniqueness of boundary blow-up solutions, that is, solutions (u, v) verifying u = v = +∞ on ∂Ω. Then, we use them to analyze the removability of singularities of positive solutions of the system in the particular case qr ≤ 1, where comparison is available.
DO  - 10.3934/CPAA.2016.15.549
UR  - https://portalciencia.ull.es/documentos/5e3c3c0129995246bbf60519
DP  - Dialnet - Portal de la Investigación
ER  -