This article is cited in 1 paper

Behavior of solutions to elliptic equations with non-power nonlinearities in unbounded domains

R. Kh. Karimov^a, L. M. Kozhevnikova^ab, A. A. Khadzhi<sup>c

a</sup> Sterlitamak Branch of Bashkir State University
^b Elabuga Branch of Kazan (Volga Region) Federal University
^c Tyumen State University

Abstract: We establish estimates characterizing the decay rate as $|x|\to\infty$ of solutions to the Dirichlet problems in unbounded domains for a certain class of elliptic equations with non-power nonlinearities.

Keywords: anisotropic elliptic equations, non-power nonlinearity, Sobolev–Orlicz space, unbounded domain.

UDC: 517.956.25

MSC: 35J62

Received: 19.11.2015

 English version: Ufa Mathematical Journal, 2016, 8:3, 95–108

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