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
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
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页码:1120 / 1142
页数:23
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