arXiv:1501.07434 Abstract | arXiv Analytics

arXiv:1501.07434 [math.AP]Abstract References Reviews Resources

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

Published 2015-01-29Version 1

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

Comments: 22 pages

Categories: math.AP

Subjects: 35J15, 35B60, 35B25

Keywords: anisotropic singular perturbations, elliptic problems, pseudo sobolev spaces, entropy solutions, nonlinear problems

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