An end-point global gradient weighted estimate for quasilinear equations in non-smooth domains

被引：0

作者：

Karthik Adimurthi

Nguyen Cong Phuc

机构：

[1] Louisiana State University,Department of Mathematics

来源：

Manuscripta Mathematica | 2016年 / 150卷

关键词：

primary: 35J92; 35B45; secondary: 42B20; 42B37;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A weighted norm inequality involving A1 weights is obtained at the natural exponent for gradients of solutions to quasilinear elliptic equations in Reifenberg flat domains. Certain gradient estimates in Lorentz–Morrey spaces below the natural exponent are also obtained as a consequence of our analysis.

引用

页码：111 / 135

页数：24

共 50 条

[1] An end-point global gradient weighted estimate for quasilinear equations in non-smooth domains
Adimurthi, Karthik
Nguyen Cong Phuc
MANUSCRIPTA MATHEMATICA, 2016, 150 (1-2) : 111 - 135
[2] Branches of positive solutions of quasilinear elliptic equations on non-smooth domains
Krömer, S
Lilli, M
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 64 (10) : 2183 - 2202
[3] Hessian equations in non-smooth domains
Colesanti, A
Salani, P
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 38 (06) : 803 - 812
[4] Weighted inequalities for gradients on non-smooth domains
Sweezy, Caroline
Wilson, J. Michael
DISSERTATIONES MATHEMATICAE, 2010, (471) : 5 - +
[5] GLOBAL GRADIENT ESTIMATES FOR p(x)-LAPLACE EQUATION IN NON-SMOOTH DOMAINS
Zhang, Chao
Wang, Lihe
Zhou, Shulin
Kim, Yun-Ho
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2014, 13 (06) : 2559 - 2587
[6] Classical solutions for the pressure-gradient equations in non-smooth and non-convex domains
Kim, EH
Song, K
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 293 (02) : 541 - 550
[7] Gradient estimates for elliptic systems in non-smooth domains
Byun, Sun-Sig
Wang, Lihe
MATHEMATISCHE ANNALEN, 2008, 341 (03) : 629 - 650
[8] Gradient estimates for elliptic systems in non-smooth domains
Sun-Sig Byun
Lihe Wang
Mathematische Annalen, 2008, 341 : 629 - 650
[9] The pressure-gradient system on non-smooth domains
Song, K
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2003, 28 (1-2) : 199 - 221
[10] End point gradient estimates for quasilinear parabolic equations with variable exponent growth on nonsmooth domains
Adimurthi, Karthik
Byun, Sun-Sig
Park, Jung-Tae
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021, 60 (04)

← 1 2 3 4 5 →