Smooth Approximation of Orlicz-Sobolev Maps Between Manifolds

被引：6

作者：

Carozza, Menita ^{[1
]}

Cianchi, Andrea ^{[2
]}

机构：

[1] Univ Sannio, Dipartimento Ingn, Corso Garibaldi 107, I-82100 Benevento, Italy

[2] Univ Firenze, Dipartimento Matemat & Informat U Dini, Viale Morgagni 67-A, I-50134 Florence, Italy

来源：

POTENTIAL ANALYSIS | 2016年 / 45卷 / 03期

关键词：

Maps between manifolds; Density of smooth functions; Orlicz-Sobolev spaces; Poincare inequality; HARMONIC MAPS; MAPPINGS; REGULARITY; TOPOLOGY; SPACES;

D O I：

10.1007/s11118-016-9558-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The problem of density of smooth functions in Orlicz-Sobolev spaces of maps between compact manifolds, without topological restrictions, is addressed. Our contribution refines earlier results in the literature via ad hoc Orlicz space techniques.

引用

页码：557 / 578

页数：22

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