Strongly anisotropic elliptic problems with regular and data
Moussa Chrif
Université Moulay Ismail, Meknès, MoroccoSaid El Manouni
Al Imam University (IMSIU), Riyadh, Saudi ArabiaFares Mokhtari
ENS Kouba, Ecole Supérieure de Commerce, Alger, Algeria
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Abstract
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 . A uniqueness result is also given in a particular case.
Cite this article
Moussa Chrif, Said El Manouni, Fares Mokhtari, Strongly anisotropic elliptic problems with regular and data. Port. Math. 72 (2015), no. 4, pp. 357–391
DOI 10.4171/PM/1971