On the regularity of solutions in the Pucci-Serrin identity

被引：0
|
作者：
Marco Degiovanni
Alessandro Musesti
Marco Squassina
机构：
[1] Universitá Cattolica del Sacro Cuore,Dipartimento di Matematica e Fisica
来源：
Calculus of Variations and Partial Differential Equations | 2003年 / 18卷
关键词：
Euler Equation; Additional Assumption; Strict Convexity;
D O I：
暂无
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学科分类号：
摘要：
We extend a celebrated identity by P. Pucci and J. Serrin, concerning C2 solutions of Euler equations of functionals of the calculus of variations, to the case of C1 solutions under the only additional assumption of strict convexity in the gradient. Some particular cases in which the mere convexity is sufficient are also considered.
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页码：317 / 334
页数：17
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