Regularity results for a class of obstacle problems under nonstandard growth conditions

被引：35

作者：

Eleuteri, Michela ^{[2
]}

Habermann, Jens ^{[1
]}

机构：

[1] Univ Erlangen Nurnberg, Dept Math, D-91054 Erlangen, Germany

[2] Univ Trent, Dipartimento Matemat, I-38100 Trento, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 344卷 / 02期

关键词：

obstacle problems; nonstandard growth; minimizers of functionals; Holder continuity;

D O I：

10.1016/j.jmaa.2008.03.068

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove regularity results for minimizers of functionals F(u, Omega) := f(x, u, Du)dx in the class K := {u epsilon W-1,W-p(x) (Omega, R): u >= Psi}, where Psi : Omega -> R is a fixed function and f is quasiconvex and fulfills a growth condition of the type L-1 vertical bar z vertical bar(p(x)) <= f(x, xi, z) <= L(1 + vertical bar z vertical bar(p(x))), with growth exponent p : Omega -> (1, infinity). (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：1120 / 1142

页数：23

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