The asymptotic behavior of solutions to a class of inhomogeneous problems : an Orlicz-Sobolev space approach

Grecu Andrei and Stancu-Dumitru Denisa: The asymptotic behavior of solutions to a class of inhomogeneous problems : an Orlicz-Sobolev space approach. (2021)

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Abstract

The asymptotic behavior of the sequence {vn} of nonnegative solutions for a class of inhomogeneous problems settled in Orlicz–Sobolev spaces with prescribed Dirichlet data on the boundary of domain Ω is analysed. We show that {vn} converges uniformly in Ω as n → ∞, to the distance function to the boundary of the domain.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2021
Number: 38
ISSN: 1417-3875
Number of Pages: 20
Language: English
DOI: 10.14232/ejqtde.2021.1.38
Uncontrolled Keywords: Differenciálegyenlet, Orlicz-Sobolev terek
Additional Information: Bibliogr.: p. 17-20. ; összefoglalás angol nyelven
Date Deposited: 2021. Nov. 08. 14:29
Last Modified: 2021. Nov. 08. 14:29
URI: http://acta.bibl.u-szeged.hu/id/eprint/73690

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