A Relaxation Result in the Vectorial Setting and Power Law Approximation for Supremal Functionals

被引：0
|
作者：
Francesca Prinari
Elvira Zappale
机构：
[1] Università di Ferrara,Dip. di Matematica e Informatica
[2] Università degli Studi di Salerno,Dip. di Ingegneria Industriale
来源：
Journal of Optimization Theory and Applications | 2020年 / 186卷
关键词：
Supremal functionals; Relaxation; Level convexity; -convergence; 49J45; 26B25; 47J22;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We provide relaxation for not lower semicontinuous supremal functionals defined on vectorial Lipschitz functions, where the Borel level convex density depends only on the gradient. The connection with indicator functionals is also enlightened, thus extending previous lower semicontinuity results in that framework. Finally, we discuss the power law approximation of supremal functionals, with nonnegative, coercive densities having explicit dependence also on the spatial variable, and satisfying minimal measurability assumptions.
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页码：412 / 452
页数：40
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