Strongly anisotropic elliptic problems with regular and $L^1$ data
Moussa Chrif, Said El Manouni, Fares Mokhtari · Portugaliae Mathematica · 2015
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.