Uniqueness of Solutions to Anisotropic Elliptic Equations with Nonpower Nonlinearities in Unbounded Domains


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We establish the uniqueness of a solution to the Dirichlet problem for a class of anisotropic second order elliptic equations with lower-order terms and nonpower nonlinearities. We construct an example demonstrating that the class of equations under consideration is larger than the class of equations with power nonlinearites.

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L. Kozhevnikova

Sterlitamak Branch of Bashkir State University, Elabuga Branch of Kazan (Volga Region) Federal University

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Email: kosul@mail.ru
俄罗斯联邦, 89, Kazanskaya St., Elabuga, 423600

A. Khadzhi

University of Tyumen

Email: kosul@mail.ru
俄罗斯联邦, 6, Volodarskogo St., Tyumen, 625003

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