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

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

arXiv comment23 pages, Some minor corrections

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