Strongly anisotropic elliptic problems with regular and data

  • Moussa Chrif

    Université Moulay Ismail, Meknès, Morocco
  • Said El Manouni

    Al Imam University (IMSIU), Riyadh, Saudi Arabia
  • Fares Mokhtari

    ENS Kouba, Ecole Supérieure de Commerce, Alger, Algeria

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