Sharp integral inequalities for harmonic functions

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Motivared by Carleman's proof of the isoperimetric inequality in the plane, we study some sharp integral inequalities for harmonic functions on the upper halfspace. We also derive the regularity for nonnegative solutions of the associated integral system and some Liouville type theorems.
35 pages

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Analysis of PDEs, Functional Analysis, 26D10, 45Mxx

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http://salesiana.dossiersoluciones.com/handle/123456789/119235

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0611340
 http://arxiv.org/abs/math/0611340

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arXiv