Applications of Boundary Harnack Inequalities for p Harmonic Functions and Related Topics

被引:3
作者
Lewis, J. [1 ]
机构
[1] Univ Kentucky, Dept Math, Lexington, KY 40506 USA
来源
REGULARITY ESTIMATES FOR NONLINEAR ELLIPTIC AND PARABOLIC PROBLEMS: CETRARO, ITALY 2009 | 2012年 / 2045卷
基金
美国国家科学基金会;
关键词
LIPSCHITZ FREE-BOUNDARIES; 2-PHASE PROBLEMS; ELLIPTIC-OPERATORS; POISSON KERNEL; REGULARITY; BEHAVIOR; DIMENSION; SETS; EQUATIONS;
D O I
10.1007/978-3-642-27145-8_1
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This course will be concerned with applications of recent work-techniques concerning the boundary behavior of positive p harmonic functions vanishing on a portion of the boundary of Lipschitz, chord arc, and Reifenberg flat domains. © 2012 Springer-Verlag Berlin Heidelberg.
引用
收藏
页码:1 / 72
页数:72
相关论文
共 74 条
[1]  
Alt H.W., 1984, Ann. Scuola Norm. Sup. Pisa Cl. Sci, V11, P1
[2]  
Ancona A., 1978, Ann. Inst. Fourier (Grenoble), V28, P169, DOI [10.5802/aif.720, DOI 10.5802/AIF.720]
[3]  
[Anonymous], 1970, Vestnik Leningrad. Univ
[4]  
[Anonymous], 1995, Essays on Fourier analysis in honor of Elias M. Stein (Princeton, NJ
[5]  
[Anonymous], 1993, DEGENERATE PARABOLIC, DOI DOI 10.1007/978-1-4612-0895-2
[6]  
Batakis A, 1996, ANN ACAD SCI FENN-M, V21, P255
[7]   A continuity property of the dimension of the harmonic measure of Cantor sets under perturbations [J].
Batakis, A .
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2000, 36 (01) :87-107
[8]   Dimension of the harmonic measure of non-homogeneous Cantor sets [J].
Batakis, Athanasios .
ANNALES DE L INSTITUT FOURIER, 2006, 56 (06) :1617-1631
[9]  
Bennewitz B, 2005, ANN ACAD SCI FENN-M, V30, P459
[10]  
Bennewitz B, 2008, REV MAT IBEROAM, V24, P567