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.
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页码：343 / 358
页数：16
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