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 
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/
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     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},
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     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_3_a6/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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