LOCAL BOUNDEDNESS OF MINIMIZERS OF INTEGRAL FUNCTIONALS WITH (p, q)-GROWTH ON METRIC SPACES

被引：1

作者：

Maasalo, Outi Elina ^{[1
]}

Stroffolini, Bianca ^{[2
]}

Verde, Anna ^{[2
]}

机构：

[1] Aalto Univ, Inst Math, POB 1100, FI-02015 Helsinki, Finland

[2] Univ Napoli Federico II, Dipartimento Matemat & Applicaz, I-80126 Naples, Italy

来源：

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI | 2009年 / 40卷 / 01期

关键词：

doubling measure; metric spaces; minimizers; nonstandard growth; Poincare inequality;

D O I：

10.7169/facm/1238418803

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study local boundedness of the local minimizers of functionals with (p, q)-growth on metric measure spaces equipped with a doubling measure and supporting a weak Poincare inequality. The metric space is not required to be complete.

引用

页码：127 / 138

页数：12

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