Geodesic
On the entropy solution to an elliptic problem in anisotropic Sobolev–Orlicz spaces
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 3, pp. 429-447

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For a certain class of anisotropic elliptic equations with the right-hand side from $L_1$ in an arbitrary unbounded domains, the Dirichlet problem with an inhomogeneous boundary condition is considered. The existence and uniqueness of the entropy solution in anisotropic Sobolev–Orlicz spaces are proven. 
@article{ZVMMF_2017_57_3_a6,
     author = {L. M. Kozhevnikova},
     title = {On the entropy solution to an elliptic problem in anisotropic {Sobolev{\textendash}Orlicz} spaces},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {429--447},
     publisher = {mathdoc},
     volume = {57},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_3_a6/}
}
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L. M. Kozhevnikova. On the entropy solution to an elliptic problem in anisotropic Sobolev–Orlicz spaces. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 3, pp. 429-447. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_3_a6/