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Existence of Solutions of Anisotropic Elliptic Equations with Variable Indices of Nonlinearity in ℝ<sup>n</sup>

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dc.contributor.author Kozhevnikova L.M.
dc.contributor.author Kamaletdinov A.S.
dc.date.accessioned 2022-02-09T20:36:17Z
dc.date.available 2022-02-09T20:36:17Z
dc.date.issued 2021
dc.identifier.issn 1072-3374
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/169333
dc.description.abstract In this paper, we consider a certain class of anisotropic second-order elliptic equations of divergent type with variable indices of nonlinearities. We examine conditions of the solvability in the whole space ℝn, n ≥ 2. We prove the existence of solutions without restrictions to the growth rate as |x| → ∞.
dc.relation.ispartofseries Journal of Mathematical Sciences (United States)
dc.subject 35D30
dc.subject 35J25
dc.subject 35J62
dc.subject anisotropic elliptic equation
dc.subject existence
dc.subject generalized solution
dc.subject p(x)-Laplacian
dc.subject variable index of nonlinearity
dc.title Existence of Solutions of Anisotropic Elliptic Equations with Variable Indices of Nonlinearity in ℝ<sup>n</sup>
dc.type Article
dc.relation.ispartofseries-issue 1
dc.relation.ispartofseries-volume 257
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 48
dc.source.id SCOPUS10723374-2021-257-1-SID85111534080


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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