Geodesic
Elliptic equations with measure data in Orlicz spaces
Electronic Journal of Differential Equations, Tome 2008 (2008).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {2008},
     year = {2008},
     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/