Elliptic systems with boundary blow-up: Existence, uniqueness and applications to removability of singularities
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) ver...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_15340392_v15_n2_p549_GarciaMelian |
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todo:paper_15340392_v15_n2_p549_GarciaMelian2023-10-03T16:21:36Z Elliptic systems with boundary blow-up: Existence, uniqueness and applications to removability of singularities García-Melián, J. Rossi, J.D. Sabina De Lis, J.C. Boundary blow-up Elliptic systems Removable singularities 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. © 2016, American Institute of Mathematical Sciences. All rights reserved. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15340392_v15_n2_p549_GarciaMelian |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Boundary blow-up Elliptic systems Removable singularities |
| spellingShingle |
Boundary blow-up Elliptic systems Removable singularities García-Melián, J. Rossi, J.D. Sabina De Lis, J.C. Elliptic systems with boundary blow-up: Existence, uniqueness and applications to removability of singularities |
| topic_facet |
Boundary blow-up Elliptic systems Removable singularities |
| description |
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. © 2016, American Institute of Mathematical Sciences. All rights reserved. |
| format |
JOUR |
| author |
García-Melián, J. Rossi, J.D. Sabina De Lis, J.C. |
| author_facet |
García-Melián, J. Rossi, J.D. Sabina De Lis, J.C. |
| author_sort |
García-Melián, J. |
| title |
Elliptic systems with boundary blow-up: Existence, uniqueness and applications to removability of singularities |
| title_short |
Elliptic systems with boundary blow-up: Existence, uniqueness and applications to removability of singularities |
| title_full |
Elliptic systems with boundary blow-up: Existence, uniqueness and applications to removability of singularities |
| title_fullStr |
Elliptic systems with boundary blow-up: Existence, uniqueness and applications to removability of singularities |
| title_full_unstemmed |
Elliptic systems with boundary blow-up: Existence, uniqueness and applications to removability of singularities |
| title_sort |
elliptic systems with boundary blow-up: existence, uniqueness and applications to removability of singularities |
| url |
http://hdl.handle.net/20.500.12110/paper_15340392_v15_n2_p549_GarciaMelian |
| work_keys_str_mv |
AT garciamelianj ellipticsystemswithboundaryblowupexistenceuniquenessandapplicationstoremovabilityofsingularities AT rossijd ellipticsystemswithboundaryblowupexistenceuniquenessandapplicationstoremovabilityofsingularities AT sabinadelisjc ellipticsystemswithboundaryblowupexistenceuniquenessandapplicationstoremovabilityofsingularities |
| _version_ |
1807321181661954048 |