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Mixed interior and boundary bubbling solutions for Neumann problem in R2
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| DOI | 10.1016/J.JDE.2012.04.012 | ||||
| Año | 2012 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
Abstract
Let ohm be a bounded domain in R-2 with smooth boundary, we consider the following problem: -Delta u + u = lambda u(p-1)e(up), u > 0, in ohm, with Neumann boundary condition partial derivative u/partial derivative v = 0 on partial derivative ohm, where lambda > 0 is a small parameter, 0 < p < 2. and v denotes the outer normal vector to partial derivative ohm. We construct solutions of this problem with k interior bubbling points and I boundary bubbling points, for any k >= 1 and 1 >= 1. (c) 2012 Elsevier Inc. All rights reserved.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | Deng, Shengbing | - |
Universidad de Chile - Chile
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| Agradecimiento |
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| This work is supported by a doctoral scholarship of the Center for Mathematical Modeling, University of Chile. I would like to thank Professors Manuel del Pino and Monica Musso for their guidance and help, thank Professor Monica Musso for reading the preprint of this paper and giving useful suggestions. I also give my thanks to the reviewer for the useful comments and suggestions. |
| This work is supported by a doctoral scholarship of the Center for Mathematical Modeling, University of Chile. I would like to thank Professors Manuel del Pino and Monica Musso for their guidance and help, thank Professor Monica Musso for reading the preprint of this paper and giving useful suggestions. I also give my thanks to the reviewer for the useful comments and suggestions. |
