Geodesic
Existence of entropic solutions of elliptic problem in anisotropic Sobolev--Orlicz spaces
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations. Mathematical physics, Tome 139 (2017), pp. 15-38.

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We consider the Dirichlet problem in an arbitrary unbounded domain with inhomogeneous boundary conditions for a certain class of anisotropic elliptic equations whose right-hand sides belong to the class $L_1$ and prove the existence of entropic solutions in anisotropic Sobolev–Orlicz spaces.
Mots-clés : anisotropic elliptic equation, entropic solution, existence of solution
Keywords: Sobolev–Orlicz space, $N$-function, pseudo-monotonic operator. 
@article{INTO_2017_139_a2,
     author = {L. M. Kozhevnikova},
     title = {Existence of entropic solutions of elliptic problem in anisotropic {Sobolev--Orlicz} spaces},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {15--38},
     publisher = {mathdoc},
     volume = {139},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2017_139_a2/}
}
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L. M. Kozhevnikova. Existence of entropic solutions of elliptic problem in anisotropic Sobolev--Orlicz spaces. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations. Mathematical physics, Tome 139 (2017), pp. 15-38. http://geodesic.mathdoc.fr/item/INTO_2017_139_a2/