Guide to nonlinear potential estimates

被引：170
作者：
Kuusi, Tuomo [1 ]
Mingione, Giuseppe [2 ]
机构：
[1] Aalto Univ, Inst Math, Aalto 00076, Finland
[2] Univ Parma, Dipartimento Matemat & Informat, Parco Area Sci 53-a, I-43124 Parma, Italy
来源：
BULLETIN OF MATHEMATICAL SCIENCES | 2014年 / 4卷 / 01期
基金：
芬兰科学院;
关键词：
ELLIPTIC-EQUATIONS; WEAK SOLUTIONS; REGULARITY; GRADIENT; BEHAVIOR;
D O I：
10.1007/s13373-013-0048-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
One of the basic achievements in nonlinear potential theory is that the typical linear pointwise estimates via fundamental solutions find a precise analog in the case of nonlinear equations. We give a comprehensive account of this fact and prove new unifying families of potential estimates. We also describe new fine properties of solutions to measure data problems.
引用
收藏
页码：1 / 82
页数：82
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