Orlicz-Sobolev空间中障碍问题的均匀化

IF 0.5 4区数学 Q3 MATHEMATICS

Portugaliae Mathematica Pub Date : 2018-06-22 DOI:10.4171/pm/2019

Diego Marcon, J. Rodrigues, R. Teymurazyan

引用次数: 4

摘要

我们研究了$p（\cdot）$-Laplacian型的一类广义单调算子（可能退化或奇异）在Orlicz-Sobolev空间中障碍问题的同构性。我们的方法是基于Lewy-Stampacchia不等式，然后给出了紧致性论点。我们还证明了在非退化条件下重合集的收敛性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Homogenization of obstacle problems in Orlicz–Sobolev spaces

We study the homogenization of obstacle problems in Orlicz-Sobolev spaces for a wide class of monotone operators (possibly degenerate or singular) of the $p(\cdot)$-Laplacian type. Our approach is based on the Lewy-Stampacchia inequalities, which then give access to a compactness argument. We also prove the convergence of the coincidence sets under non-degeneracy conditions.

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来源期刊

Portugaliae Mathematica MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： Since its foundation in 1937, Portugaliae Mathematica has aimed at publishing high-level research articles in all branches of mathematics. With great efforts by its founders, the journal was able to publish articles by some of the best mathematicians of the time. In 2001 a New Series of Portugaliae Mathematica was started, reaffirming the purpose of maintaining a high-level research journal in mathematics with a wide range scope.