REGULARITY UNDER GENERAL AND p, q-CONDITIONS

被引：49

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.

引用

页码：2009 / 2031

页数：23