Existence and regularity of minimizers of nonconvex integrals with p-q growth

被引：15

作者：

Celada, Pietro

Cupini, Giovanni

Guidorzi, Marcello

机构：

[1] Univ Parma, Dipartimento Matemat, I-43100 Parma, Italy

[2] Univ Florence, Dipartimento Matemat U Dini, I-50134 Florence, Italy

[3] Univ Ferrara, Dipartimento Matemat, I-44100 Ferrara, Italy

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2007年 / 13卷 / 02期

关键词：

nonstandard growth; existence; Lipschitz continuity;

D O I：

10.1051/cocv:2007014

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We show that local minimizers of functionals of the form [GRAPHICS] are locally Lipschitz continuous provided f is a convex function with p-q growth satisfying a condition of qualified convexity at infinity and g is Lipschitz continuous in u. As a consequence of this, we obtain an existence result for a related nonconvex functional.

引用

页码：343 / 358

页数：16

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