Abstract
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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Original Russian Text © L.M. Kozhevnikova, 2017, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2017, Vol. 57, No. 3, pp. 429–447.
In memory of S.I. Pohozaev
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Kozhevnikova, L.M. On the entropy solution to an elliptic problem in anisotropic Sobolev–Orlicz spaces. Comput. Math. and Math. Phys. 57, 434–452 (2017). https://doi.org/10.1134/S0965542517030101
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DOI: https://doi.org/10.1134/S0965542517030101