Gradient estimates for p(x)-harmonic functions

被引：0

作者：

S. Challal

A. Lyaghfouri

机构：

[1] Fields Institute,

来源：

manuscripta mathematica | 2010年 / 131卷

关键词：

35R35; 35B05; 35J60;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We establish an a priori gradient estimate for the solutions of the quasilinear p(x)-Laplace equation Δp(x)u = 0.

引用

页码：403 / 414

页数：11

共 50 条

[41] Remark on the Hӧlder Continuity of p(x)-Harmonic Functions
Alkhutov Y.A.
Krasheninnikova O.V.
Journal of Mathematical Sciences, 2016, 216 (2) : 147 - 154
[42] Global gradient estimates for the parabolic p(x, t)-Laplacian equation
Zhang, Chao
Zhou, Shulin
Xue, Xiaoping
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2014, 105 : 86 - 101
[43] REMOVABLE SETS FOR HOLDER CONTINUOUS p(x)-HARMONIC FUNCTIONS
Lyaghfouri, A.
ANALYSIS AND APPLICATIONS, 2012, 10 (02)
[44] Weighted gradient estimates for the general elliptic p(x)-Laplacian equations
Yao, Fengping
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 415 (02) : 644 - 660
[45] Functions of Least Gradient and 1-Harmonic Functions
Mazon, Jose M.
Rossi, Julio D.
Segura de Leon, Sergio
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2014, 63 (04) : 1067 - 1084
[46] Limits as p(x) → ∞ of p(x)-harmonic functions with non-homogeneous Neumann boundary conditions
Perez-LLanos, Mayte
Rossi, Julio D.
NONLINEAR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS, 2011, 540 : 187 - 201
[47] Fat sets and pointwise boundary estimates for p-harmonic functions in metric spaces
Björn, J
MacManus, P
Shanmugalingam, N
JOURNAL D ANALYSE MATHEMATIQUE, 2001, 85 (1): : 339 - 369
[48] BOUNDARY ESTIMATES FOR DERIVATIVES OF HARMONIC-FUNCTIONS
BEATROUS, F
STUDIA MATHEMATICA, 1991, 98 (01) : 53 - 71
[49] Global gradient estimates for asymptotically regular problems of p(x)-Laplacian type
Byun, Sun-Sig
Oh, Jehan
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2018, 20 (08)
[50] Quantitative gradient estimates for harmonic maps into singular spaces
Hui-Chun Zhang
Xiao Zhong
Xi-Ping Zhu
Science China(Mathematics), 2019, 62 (11) : 2371 - 2400

← 1 2 3 4 5 →