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

Authors

  • R.Kh. Karimov
    Sterlitamak Branch of Bashkir State University
  • L.M. Kozhevnikova
    Sterlitamak Branch of Bashkir State University
    Elabuga Branch of Kazan (Volga Region) Federal University
  • A.A. Khadzhi
    Tyumen State University

DOI:

https://doi.org/10.13108/2016-8-3-95

Keywords:

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

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.

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Published

20.09.2016

Issue

Vol. 8 No. 3 (2016): Ufa Mathematical Journal 2016, volume 8 , issue 3

Section

Article