Existence of Solutions of Anisotropic Elliptic Equations with Variable Exponents in Unbounded Domains

dc.date.accessioned	2019-01-22T20:51:30Z
dc.date.available	2019-01-22T20:51:30Z
dc.date.issued	2018
dc.identifier.issn	1995-0802
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/149123
dc.description.abstract	© 2018, Pleiades Publishing, Ltd. We consider a class of anisotropic elliptic differential equations of second order with divergent form and variable exponents. The corresponding elliptic operators are pseudo-monotone and coercive. We obtain solvability conditions for the Dirichlet problem in unbounded domains Ω ⊂ ℝn, n ≥ 2. The proof of existence of solutions is free of restrictions on growth of data for \|x\| → ∞.
dc.relation.ispartofseries	Lobachevskii Journal of Mathematics
dc.subject	anisotropic elliptic equation
dc.subject	Dirichlet problem
dc.subject	existence solution
dc.subject	pseudomonotone operator
dc.subject	variable exponent
dc.title	Existence of Solutions of Anisotropic Elliptic Equations with Variable Exponents in Unbounded Domains
dc.type	Article
dc.relation.ispartofseries-issue	2
dc.relation.ispartofseries-volume	39
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	224
dc.source.id	SCOPUS19950802-2018-39-2-SID85044332484

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Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.