Geodesic
Elliptic equations with measure data in Orlicz spaces
Electronic journal of differential equations, Tome 2008 (2008)
This article shows the existence of solutions to the nonlinear elliptic problem $A(u)=f$ in Orlicz-Sobolev spaces with a measure valued right-hand side, where $A(u)=-\hbox{div}a(x,u,\nabla u)$ is a Leray-Lions operator defined on a subset of $W_{0}^{1}L_{M}(\Omega)$, with general $M$.
Classification : 35J15, 35J20, 35J60
Keywords: Orlicz-Sobolev spaces, elliptic equation, nonlinear, measure data 
@article{EJDE_2008__2008__a10,
     author = {Dong,  Ge},
     title = {Elliptic equations with measure data in {Orlicz} spaces},
     journal = {Electronic journal of differential equations},
     year = {2008},
     volume = {2008},
     zbl = {1173.35465},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a10/}
}
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Dong,  Ge. Elliptic equations with measure data in Orlicz spaces. Electronic journal of differential equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a10/