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Large energy entire solutions for the Yamabe equation |
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| Authors: | Manuel del Pino Frank Pacard Angela Pistoia |
| Institution: | a Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático (UMI 2807 CNRS), Universidad de Chile, Casilla 170 Correo 3, Santiago, Chile b Departamento de Matemática, Pontificia Universidad Católica de Chile, Avda. Vicuña Mackenna 4860, Macul, Chile c Centre de Mathématiques Laurent Schwartz, École Polytechnique, 91128 Palaiseau, France d Institut Universitaire de France, France e Dipartimento SBAI, Palazzina B, Via Scarpa 16, Roma, Italy |
| Abstract: | We consider the Yamabe equation  in Rn, n?3. Let k?1 and  . For all large k we find a solution of the form  , where  ,  for n?4,  for n=3 and o(1)→0 uniformly as k→+∞. |
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