Regularity for quasilinear vectorial elliptic systems via an iterative scheme with numerical applications

被引：0
|
作者：
Koch, Lukas [1 ]
机构：
[1] Max Planck Inst Math Sci, Inselstr 22, D-04103 Leipzig, Germany
来源：
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2022年 / 29卷 / 06期
关键词：
Regularity; Iterative Galerkin schemes; P-growth; FINITE-ELEMENT APPROXIMATION; WEAK SOLUTIONS; C-1; C-GAMMA-REGULARITY; INTERIOR;
D O I：
10.1007/s00030-022-00798-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider an iterative procedure to solve quasilinear elliptic systems with p-growth. The scheme was first considered by KOSHELEV in the quadratic case p = 2. We present numerical applications as well as applications to higher regularity properties.
引用
收藏
页数：32
相关论文
共 50 条
  • [21] An alternative approach to partial regularity of quasilinear elliptic systems with VMO coefficients
    Yu, Haiyan
    Zheng, Shenzhou
    Tong, Yuxia
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016, : 1 - 13
  • [22] EVERYWHERE REGULARITY FOR SOLUTIONS TO QUASILINEAR ELLIPTIC-SYSTEMS OF TRIANGULAR FORM
    YAN, ZQ
    LECTURE NOTES IN MATHEMATICS, 1988, 1306 : 255 - 261
  • [23] Regularity for elliptic systems of differential forms and applications
    Sil, Swarnendu
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2017, 56 (06)
  • [24] Regularity for elliptic systems of differential forms and applications
    Swarnendu Sil
    Calculus of Variations and Partial Differential Equations, 2017, 56
  • [25] Generalizations of Stampacchia Lemma and applications to quasilinear elliptic systems
    Gao, Hongya
    Deng, Hua
    Huang, Miaomiao
    Ren, Wei
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2021, 208
  • [26] Regularity Result for Quasilinear Elliptic Systems with Super Quadratic Natural Growth Condition
    Chen, Shuhong
    Tan, Zhong
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [27] Holder regularity for weak solutions of diagonal divergence quasilinear degenerate elliptic systems
    Dong, Yan
    Cui, Xuewei
    TURKISH JOURNAL OF MATHEMATICS, 2014, 38 (02) : 252 - 266
  • [28] Boundary regularity for quasilinear elliptic systems with super quadratic controllable growth condition
    Shuhong Chen
    Zhong Tan
    Boundary Value Problems, 2014
  • [29] Regularity of weak solutions to obstacle problems for nondiagonal quasilinear degenerate elliptic systems
    Du, Guangwei
    Zhang, Kelei
    Dong, Yan
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)
  • [30] Regularity of weak solutions to obstacle problems for nondiagonal quasilinear degenerate elliptic systems
    Guangwei Du
    Kelei Zhang
    Yan Dong
    Journal of Inequalities and Applications, 2019
12345