Existence of Entropic Solutions of an Elliptic Problem in Anisotropic Sobolev–Orlicz Spaces


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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 L1 and prove the existence of entropic solutions in anisotropic Sobolev–Orlicz spaces.

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L. Kozhevnikova

Sterlitamak Branch of the Bashkir State University; Elabuga Branch of the Bashkir State University

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Email: kosul@mail.ru
俄罗斯联邦, Sterlitamak; Elabuga

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