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Non-stability of Paneitz-Branson type equations in arbitrary dimensions
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| DOI | 10.1016/J.NA.2014.05.006 | ||||
| Año | 2014 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
Abstract
where A(g) is a smooth symmetric (2, 0)-tensor, h is an element of C-infinity(M), 2* = 2n/n-4 and epsilon is a small positive parameter. Assuming that there exists a positive nondegenerate solution of (E) when epsilon = 0 and under suitable conditions, we construct solutions u(epsilon) of type (u(0) - BBI epsilon) to (E) which blow up at one point of the manifold when epsilon tends to 0 for all dimensions n >= 5. (C) 2014 Elsevier Ltd. All rights reserved.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | Bakri, Laurent | Hombre |
Universidad Técnica Federico Santa María - Chile
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| 2 | Casteras, Jean-Baptiste | Hombre |
Univ Fed Rio Grande do Sul - Brasil
Universidade Federal do Rio Grande do Sul - Brasil |
| Fuente |
|---|
| Conselho Nacional de Desenvolvimento Científico e Tecnológico |
| Universidad de Santiago de Chile |
| CNPq (Brazil) |
| Conselho Nacional de Desenvolvimento CientÃfico e Tecnológico |
| PROYECTO BASAL PFB03 CMM, Universidad de Chile, Santiago (Chile) |
| Agradecimiento |
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| The authors would like to thank F. Robert for his comments and suggestions on a preliminary version of this paper. Additionally, the authors would like to thank the anonymous referee for pointing out relevant references. The first author was supported by PROYECTO BASAL PFB03 CMM, Universidad de Chile, Santiago (Chile). The second author was supported by the CNPq (Brazil) project 501559/2012-4. |
| The authors would like to thank F. Robert for his comments and suggestions on a preliminary version of this paper. Additionally, the authors would like to thank the anonymous referee for pointing out relevant references. The first author was supported by PROYECTO BASAL PFB03 CMM, Universidad de Chile, Santiago (Chile). The second author was supported by the CNPq (Brazil) project 501559/2012-4. |
