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Strongly anisotropic elliptic problems with regular and L-1 data
Journal article   Peer reviewed

Strongly anisotropic elliptic problems with regular and L-1 data

Moussa Chrif, Said El Manouni and Fares Mokhtari
Portugaliae mathematica, Vol.72(4), pp.357-391
01/01/2015
DOI: https://doi.org/10.4171/PM/1971

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we obtain the existence of weak solutions to a class of strongly anisotropic nonlinear elliptic boundary-value problems with nonlinear lower-order term with natural growth in an appropriate anisotropic function space. We investigate the cases where the right hand side term is regular or to be in L-1. A uniqueness result is also given in a particular case.

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