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arXiv · 1501.07434

On the L^p-theory of Anisotropic singular perturbations of elliptic problems

Chokri Ogabi
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Abstract

In this article we give an extention of the L^2-theory of anisotropic singular perturbations for elliptic problems. We study a linear and some nonlinear problems involving L^p data (1<p<2). Convergences in pseudo Sobolev spaces are proved for weak and entropy solutions, and rate of convergence is given in cylindrical domains

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Chokri Ogabi. 2015-02-27. On the L^p-theory of Anisotropic singular perturbations of elliptic problems. https://doi.org/10.3934/cpaa.2016.15.1157

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