REGULARITY UNDER GENERAL AND p, q-CONDITIONS

被引：46
|
作者：
Marcellini, Paolo [1 ]
机构：
[1] Univ Firenze, Dipartimento Matemat & Informat U Dini, Viale Morgagni 67-A, I-50134 Florence, Italy
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2020年 / 13卷 / 07期
关键词：
Elliptic equations and systems; parabolic equations and systems; Regularity of solutions; local Lipschitz continuity; p; q-growth conditions; general growth conditions; ELLIPTIC-EQUATIONS; VARIATIONAL INTEGRALS; LIPSCHITZ CONTINUITY; NONLINEAR EQUATIONS; HOLDER CONTINUITY; LOCAL BOUNDEDNESS; ENERGY INTEGRALS; WEAK SOLUTIONS; MINIMIZERS; GROWTH;
D O I：
10.3934/dcdss.2020155
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with existence and regularity in variational problems related to partial differential equations and systems - both in the elliptic and in the parabolic contexts - and to calculus of variations, under general and p, q-growth conditions. The manuscript is dedicated to my friend and colleague Patrizia Pucci, with great esteem and sympathy.
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页码：2009 / 2031
页数：23
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