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Departamento Gestión de Conocimiento, Monitoreo y Prospección
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On the behavior of positive solutions of semilinear elliptic equations in asymptotically cylindrical domains
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| DOI | 10.1007/S11784-016-0349-1 | ||||
| Año | 2017 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
Abstract
The goal of this note is to study the asymptotic behavior of positive solutions for a class of semilinear elliptic equations which can be realized as minimizers of their energy functionals. This class includes the Fisher-KPP and Allen-Cahn nonlinearities. We consider the asymptotic behavior in domains becoming infinite in some directions. We are in particular able to establish an exponential rate of convergence for this kind of problems.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | Chipot, Michel | Hombre |
UNIV ZURICH - Suiza
University of Zurich - Suiza Universität Zürich - Suiza |
| 2 | DAVILA-BONCZOS, JUAN DIEGO | Hombre |
Universidad de Chile - Chile
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| 3 | DEL PINO-MANRESA, MANUEL ADRIAN | Hombre |
Universidad de Chile - Chile
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| Agradecimiento |
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| This work has been performed during a visit of the first author at the Universidad de Chile in Santiago and at the SBAI at the Sapienza Universita di Roma. He would like to thank both institutions for their kind hospitality. The second and third authors have been supported by Grants Fondecyt 1130360, 1150066, Fondo Basal CMM and Millenium Nucleus CAPDE NC130017. |
