The limiting Behavior of Solutions to Inhomogeneous Eigenvalue Problems in Orlicz-Sobolev Spaces-Reference-Cited by-同舟云学术

The limiting Behavior of Solutions to Inhomogeneous Eigenvalue Problems in Orlicz-Sobolev Spaces

Published:2014-11-01 Issue:4 Volume:14 Page:977-990
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Bocea Marian¹,Mihăilescu Mihai²,Stancu-Dumitru Denisa³

Affiliation:

1. Department of Mathematics and Statistics, Loyola University Chicago 1032 W. Sheridan Road, Chicago, IL 60660 U.S.A.

2. Department of Mathematics, University of Craiova 200585 Craiova, Romania Research group of the project PN-II-ID-PCE-2012-4-0021 “Simion Stoilow” Institute of Mathematics of the Romanian Academy P.O. Box 1-764, 014700 Bucharest, Romania

3. Research group of the project PN-II-ID-PCE-2012-4-0021 “Simion Stoilow” Institute of Mathematics of the Romanian Academy P.O. Box 1-764, 014700 Bucharest, Romania

Abstract

Abstract The asymptotic behavior of the sequence {un} of positive first eigenfunctions for a class of inhomogeneous eigenvalue problems is studied in the setting of Orlicz-Sobolev spaces. After possibly extracting a subsequence, we prove that un → u∞ uniformly in Ω as n→∞, where u∞ is a nontrivial viscosity solution of a nonlinear PDE involving the ∞-Laplacian.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2014-0409/pdf

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