Global weighted estimates for quasilinear elliptic equations with non-standard growth

被引：33
|
作者：
Zhang, Chao [1 ]
Zhou, Shulin [2 ]
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
[2] Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2014年 / 267卷 / 02期
基金：
高等学校博士学科点专项科研基金; 中国博士后科学基金;
关键词：
Elliptic; p(x)-Laplacian; A(p) weight; Gradient estimate; BMO space; Reifenberg flat domain; VARIABLE EXPONENT; BMO COEFFICIENTS; GRADIENT; SPACES; INTEGRABILITY; REGULARITY;
D O I：
10.1016/j.jfa.2014.03.022
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we obtain a new global gradient estimates in weighted Lorentz spaces for weak solutions of p(x)-Laplacian type equation with small BMO coefficients in a delta-Reifenberg flat domain. The modified Vitali covering lemma, the maximal function technique and the appropriate localization method are the main analytical tools. Our results improve the known results for such equations. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：605 / 642
页数：38
相关论文
共 50 条
  • [21] Global regularity estimates for a class of quasilinear elliptic equations in the whole space
    Yao, Fengping
    Zhang, Chao
    Zhou, Shulin
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 194 (194)
  • [22] Weighted Lorentz Gradient Estimates for a Class of Quasilinear Elliptic Equations with Measure Data
    Fengping Yao
    Bulletin of the Iranian Mathematical Society, 2021, 47 : 725 - 741
  • [23] Boundedness of solutions for an elliptic equation with non-standard growth
    Cianci, Paolo
    Nicolosi, Francesco
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (5-6) : 1825 - 1832
  • [24] Global weighted estimates for the gradient of solutions to nonlinear elliptic equations
    Byun, Sun-Sig
    Ryu, Seungjin
    ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2013, 30 (02): : 291 - 313
  • [25] Overview of differential equations with non-standard growth
    Harjulehto, Petteri
    Hasto, Peter
    Le, Ut V.
    Nuortio, Matti
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (12) : 4551 - 4574
  • [26] Quasilinear elliptic equations with natural growth and quasilinear elliptic equations with singular drift
    Degiovanni, Marco
    Marzocchi, Marco
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2019, 185 : 206 - 215
  • [27] Interior gradient estimates for quasilinear elliptic equations
    Truyen Nguyen
    Tuoc Phan
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2016, 55 (03)
  • [28] Interior gradient estimates for quasilinear elliptic equations
    Truyen Nguyen
    Tuoc Phan
    Calculus of Variations and Partial Differential Equations, 2016, 55
  • [29] Isolated singularities for weighted quasilinear elliptic equations
    Cirstea, Florica C.
    Du, Yihong
    JOURNAL OF FUNCTIONAL ANALYSIS, 2010, 259 (01) : 174 - 202
  • [30] Global bifurcation for quasilinear elliptic equations
    Narukawa, Kimiaki
    Nonlinear Analysis, Theory, Methods and Applications, 1997, 30 (08): : 5241 - 5249
12345