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Solutions of an elliptic system with a nearly critical exponent
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| DOI | 10.1016/J.ANIHPC.2006.11.008 | ||||
| Año | 2008 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
Abstract
This problem has positive solutions for epsilon > 0 (with pq(epsilon) > 1) and no non-trivial solution for epsilon <= 0. We study the asymptotic behavior of least energy solutions as epsilon -> 0(+). These solutions are shown to blow-up at exactly one point, and the location of this point is characterized. In addition, the shape and exact rates for blowing up are given. (c) 2007 Elsevier Masson SAS. All rights reserved.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | GUERRA-BENAVENTE, IGNACIO ANTONIO | Hombre |
Universidad de Santiago de Chile - Chile
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| Fuente |
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| Fondo Nacional de Desarrollo Científico y Tecnológico |
| Fondo Nacional de Desarrollo CientÃfico y Tecnológico |
| Agradecimiento |
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| This research was finished thanks to the support of FONDECYT 1061110. This work started under the Postdoctoral FONDECYT 3040059. The author is indebted to Prof. J. Dávila for many useful discussions. The author thanks the referee for his careful reading of the manuscript. |
