广义双相泛函的正则性结果

IF 1.8 1区数学 Q1 MATHEMATICS

Analysis & PDE Pub Date : 2020-07-27 DOI:10.2140/apde.2020.13.1269

Sun-Sig Byun, Jehan Oh

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引用次数: 55

摘要

在Musielak–Orlicz空间的框架下，我们考虑了一大类具有根据调制系数改变其增长性和椭圆性性质的泛函。特别地，我们提供了调制系数的一个最优条件，以建立两个Young函数G和H的（G，H）-增长广义双相函数的拟极小子的Holder正则性和Harnack不等式。

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Regularity results for generalized double phase functionals

We consider a wide class of functionals with the property of changing their growth and ellipticity properties according to the modulating coefficients in the framework of Musielak–Orlicz spaces. In particular, we provide an optimal condition on the modulating coefficient to establish the Holder regularity and Harnack inequality for quasiminimizers of the generalized double phase functional with (G,H)-growth for two Young functions G and H.

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来源期刊

Analysis & PDE MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.80

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： APDE aims to be the leading specialized scholarly publication in mathematical analysis. The full editorial board votes on all articles, accounting for the journal’s exceptionally high standard and ensuring its broad profile.