Regularity of weak solutions to quasilinear elliptic obstacle problems

被引：5

作者：

Yang, JF

机构：

[1] NANCHANG UNIV,DEPT MATH,NANCHANG 330047,PEOPLES R CHINA

[2] CHINESE ACAD SCI,WUHAN INST PHYS & MATH,YOUNG SCIENTIST LAB MATH PHY,NANCHANG 330047,PEOPLES R CHINA

来源：

ACTA MATHEMATICA SCIENTIA | 1997年 / 17卷 / 02期

关键词：

regularity; quasilinear; obstacle;

D O I：

10.1016/S0252-9602(17)30831-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper obtain C-1,C-alpha- regularity of weak solutions to the p-Laplacian obstacle problem with C-1,C-beta-obstacle function under controllable growth conditions.

引用

页码：159 / 166

页数：8

共 50 条

[1] REGULARITY OF WEAK SOLUTIONS TO QUASILINEAR ELLIPTIC OBSTACLE PROBLEMS
杨健夫
[J]. Acta Mathematica Scientia, 1997, (02) : 159 - 166
[2] Regularity of weak solutions to obstacle problems for nondiagonal quasilinear degenerate elliptic systems
Du, Guangwei
Zhang, Kelei
Dong, Yan
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)
[3] Regularity of weak solutions to obstacle problems for nondiagonal quasilinear degenerate elliptic systems
Guangwei Du
Kelei Zhang
Yan Dong
[J]. Journal of Inequalities and Applications, 2019
[4] Boundary regularity of weak solutions to nonlinear elliptic obstacle problems
Meng, Junxia
Chu, Yuming
[J]. BOUNDARY VALUE PROBLEMS, 2006, 2006 (1)
[5] Boundary regularity of weak solutions to nonlinear elliptic obstacle problems
M Junxia
Chu Yuming
[J]. Boundary Value Problems, 2006
[6] Existence of solutions for quasilinear elliptic obstacle problems
Zhou, YY
Huang, YS
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 295 (01) : 237 - 246
[7] PARTIAL REGULARITY FOR WEAK SOLUTIONS OF QUASILINEAR ELLIPTIC SYSTEMS
严树森
李工宝
[J]. Science Bulletin, 1991, (09) : 705 - 709
[8] Regularity of Weak Solutions of Homogeneous or Inhomogeneous Quasilinear Elliptic Equations
Pucci, Patrizia
Servadei, Raffaella
[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2008, 57 (07) : 3329 - 3363
[9] Regularity results for quasilinear degenerate elliptic obstacle problems in Carnot groups
Du, Guangwei
Niu, Pengcheng
Han, Junqiang
[J]. RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2019, 141 : 65 - 105
[10] Regularity for weak solutions to nondiagonal quasilinear degenerate elliptic systems
Dong, Yan
Niu, Pengcheng
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2016, 270 (07) : 2383 - 2414

← 1 2 3 4 5 →