Higher integrability for constrained minimizers of integral functionals with (p, q)-growth in low dimension

De Filippis Cristiana

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Higher integrability for constrained minimizers of integral functionals with (p, q)-growth in low dimension

机译：在低尺寸下与（P，Q）的整体功能的约束最小值的可积极性更高

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摘要

We prove higher summability for the gradient of minimizers of strongly convex integral functionals of the Calculus of Variations

机译：我们证明了最小化变化微积分的强大凸起整体函数的梯度更高的可比性

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来源
《Nonlinear Analysis: An International Multidisciplinary Journal》 |2018年第2018期|共20页
作者
De Filippis Cristiana;
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作者单位

Univ Oxford Math Inst Radcliffe Observ Quarter Andrew Wiles Bldg Woodstock Rd Oxford OX2 6GG England;

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原文格式 PDF
正文语种 eng
中图分类数学分析;
关键词
Constrained minimizers; (p; q)-growth; Integral functionals; Finite difference operators; Difference quotients; Fractional Sobolev spaces;

机译：约束最小化器;（p;q）-growth;积分函数;有限差分运算符;差分引用;分数sobolev空间;

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专利

1. Higher integrability for constrained minimizers of integral functionals with (p, q)-growth in low dimension [J] . De Filippis Cristiana Nonlinear Analysis: An International Multidisciplinary Journal . 2018,第期

机译：在低尺寸下与（P，Q）的整体功能的约束最小值的可积极性更高
2. Lipschitz regularity of the minimizers of autonomous integral functionals with discontinuous non-convex integrands of slow growth [J] . Mariconda C, Treu G Calculus of variations and partial differential equations . 2007,第1期

机译：具有缓慢增长的不连续非凸被积的自治积分泛函的极小化子的Lipschitz正则性
3. Lipschitz regularity of the minimizers of autonomous integral functionals with discontinuous non-convex integrands of slow growth [J] . Carlo Mariconda, Giulia Treu Calculus of Variations and Partial Differential Equations . 2007,第1期

机译：具有缓慢增长的不连续非凸被积的自治积分泛函的极小值的Lipschitz正则性
4. Three-dimensional functional integration in silicon using confined selective epitaxial growth [C] . Marian Bartek, Delft Univ. of Technology, Delft, Microlithography and Metrology in Micromachining . 1995

机译：使用受限的选择性外延生长在硅中进行三维功能集成
5. TWO DIMENSIONAL AREA MINIMIZING INTEGRAL CURRENTS ARE CLASSICAL MINIMAL SURFACES. [D] . CHANG, SHELDON XU-DONG. 1986

机译：二维区域最小化积分流是经典的最小表面。
6. A wide field-of-view modular high-density diffuse optical tomography system for minimally constrained three-dimensional functional neuroimaging [O] . Hubin Zhao, Sabrina Brigadoi, Danial Chitnis, 2020

机译：宽视野模块化高密度漫射光学断层扫描系统用于最小限制的三维功能神经影像元
7. Higher Integrability for Constrained Minimizers of Integral Functionals with (p,q)-Growth in low dimension [O] . De Filippis, Cristiana 2017

机译：积分泛函约束最小值的高可积性（p，q） - 低维生长
8. Localization and diagonalization. A review of functional integral techniques for low-dimensional gauge theories and topological field theories [R] . Blau, M. , Thompson, G. 1995

机译：本地化和对角化。低维规范理论和拓扑场理论的功能积分技术综述

Higher integrability for constrained minimizers of integral functionals with (p, q)-growth in low dimension

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