Boundary continuity for quasiminimizers on metric spaces

被引：0

作者：

Björn, J ^{[1
]}

机构：

[1] Lund Univ, Dept Math, SE-22100 Lund, Sweden

来源：

ILLINOIS JOURNAL OF MATHEMATICS | 2002年 / 46卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A pointwise estimate near a boundary point is obtained for quasiminimizers of the energy integral on a doubling metric measure space admitting a Poincare inequality. Wiener type conditions sufficient for the (Holder) continuity of quasiminimizers at a boundary point are also given.

引用

页码：383 / 403

页数：21

共 50 条

[21] ON THE UNIFORM CONTINUITY OF METRIC PROJECTIONS IN BANACH SPACES
Xu Zongben
G.F.Roach
ApproximationTheoryandItsApplications, 1992, (03) : 11 - 20
[22] On Continuity of Functions between Vector Metric Spaces
Cevik, Cuneyt
JOURNAL OF FUNCTION SPACES, 2014, 2014
[23] Effectiveness of the global modulus of continuity on metric spaces
Weihrauch, K
Zheng, XZ
THEORETICAL COMPUTER SCIENCE, 1999, 219 (1-2) : 439 - 450
[24] ON UNIFORM CONTINUITY AND COMPACTNESS IN METRIC-SPACES
HUEBER, H
AMERICAN MATHEMATICAL MONTHLY, 1981, 88 (03): : 204 - 205
[25] Lacunary statistical ward continuity in metric spaces
Kaplan, Huseyin
FILOMAT, 2024, 38 (17) : 6109 - 6114
[26] Continuity and boundary behavior of the Carathéodory metric
N. Nikolov
Mathematical Notes, 2000, 67 : 183 - 191
[27] Sobolev Spaces with Zero Boundary Values on Metric Spaces
Tero Kilpeläinen
Juha Kinnunen
Olli Martio
Potential Analysis, 2000, 12 : 233 - 247
[28] Sobolev spaces with zero boundary values on metric spaces
Kilpeläinen, T
Kinnunen, J
Martio, O
POTENTIAL ANALYSIS, 2000, 12 (03) : 233 - 247
[29] Convergence of manifolds and metric spaces with boundary
Perales, Raquel
JOURNAL OF TOPOLOGY AND ANALYSIS, 2020, 12 (03) : 735 - 774
[30] Weak subsequential continuity in fuzzy metric spaces and application
Beloul, Said
Tomar, Anita
Sharma, Ritu
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 (02): : 1485 - 1496

← 1 2 3 4 5 →