On a class of Rellich inequalities

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We prove Rellich and improved Rellich inequalities that involve the distance function from a hypersurface of codimension $k$, under a certain geometric assumption. In case the distance is taken from the boundary, that assumption is the convexity of the domain. We also discuss the best constant of these inequalities.
15 pages. To appear in J. Comput. Appl. Math

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Analysis of PDEs, Spectral Theory, 35J20; 35P20

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http://salesiana.dossiersoluciones.com/handle/123456789/73512

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0412146
 http://arxiv.org/abs/math/0412146

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arXiv