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

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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