Asymptotic behavior of palais-smale sequences associated with fractional yamabe-type equations
In this paper, we analyze the asymptotic behavior of Palais-Smale sequences associated to fractional Yamabe-type equations on an asymptotically hyperbolic Riemannian manifold. We prove that Palais-Smale sequences can be decomposed into the solution of the limit equation plus a finite number of bubbl...
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/85274 |
| Acesso em linha: | https://hdl.handle.net/2117/85274 https://dx.doi.org/10.2140/pjm.2015.278.369 |
| Access Level: | acceso abierto |
| Palavra-chave: | Fractional differential equations fractional Yamabe problem Palais-Smale sequences Conformal geometry laplacian compactness Equacions diferencials Classificació AMS::35 Partial differential equations::35J Partial differential equations of elliptic type Classificació AMS::58 Global analysis, analysis on manifolds::58J Partial differential equations on manifolds differential operators Àrees temàtiques de la UPC::Matemàtiques i estadística |
| Resumo: | In this paper, we analyze the asymptotic behavior of Palais-Smale sequences associated to fractional Yamabe-type equations on an asymptotically hyperbolic Riemannian manifold. We prove that Palais-Smale sequences can be decomposed into the solution of the limit equation plus a finite number of bubbles, which are the rescaling of the fundamental solution for the fractional Yamabe equation on Euclidean space. We also verify the non-interfering fact for multibubbles. |
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