Global regularity for solutions to Dirichlet problem for elliptic systems with nonlinearity q ≥ 2 and with natural growth

被引：0

作者：

Giuffrè, S ^{[1
]}

Idone, G ^{[1
]}

机构：

[1] Univ Reggio Calabria, Fac Ingn, DIMET, I-89060 Reggio Di Calabria, Italy

来源：

VARIATIONAL ANALYSIS AND APPLICATIONS | 2005年 / 79卷

关键词：

nonlinear elliptic systems; global Holder regularity; higher gradient summability;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Holder regularity up to the boundary of the solutions to a nonhomogeneous Dirichlet problem for second order discontinuous elliptic systems with nonlinearity q >= 2 and with natural growth is proved when n = q.

引用

页码：451 / 463

页数：13

共 50 条

[31] Boundary regularity for elliptic systems under a natural growth condition
Lisa Beck
Annali di Matematica Pura ed Applicata, 2011, 190 : 553 - 588
[32] ASYMPTOTIC SOLUTIONS FOR A DIRICHLET PROBLEM WITH AN EXPONENTIAL NONLINEARITY
MOSELEY, JL
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1983, 14 (04) : 719 - 735
[33] Regularity theory for solutions to second order elliptic operators with complex coefficients and the Lp Dirichlet problem
Dindos, Martin
Pipher, Jill
ADVANCES IN MATHEMATICS, 2019, 341 : 255 - 298
[34] A NOTE ON THE UNIQUENESS AND STRUCTURE OF SOLUTIONS TO THE DIRICHLET PROBLEM FOR SOME ELLIPTIC SYSTEMS
Chern, Jann-Long
Yotsutani, Shoji
Kawano, Nichiro
PROCEEDINGS OF EQUADIFF 2017 CONFERENCE, 2017, : 283 - 286
[35] BREAKDOWN OF UNIQUENESS OF SOLUTIONS OF THE DIRICHLET PROBLEM FOR ELLIPTIC-SYSTEMS IN A DISK
BURSKII, VP
MATHEMATICAL NOTES, 1990, 48 (3-4) : 894 - 897
[36] INFINITELY MANY SOLUTIONS TO THE DIRICHLET PROBLEM FOR QUASILINEAR ELLIPTIC SYSTEMS INVOLVING THE P(X) AND Q(X)-LAPLACIAN
Moschetto, Danila Sandra
MATEMATICHE, 2008, 63 (01): : 223 - 233
[37] LP regularity of the Dirichlet problem for elliptic equations with singular drift
Rios, Cristian
PUBLICACIONS MATEMATIQUES, 2006, 50 (02) : 475 - 507
[38] The Dirichlet problem for nonstrongly elliptic systems
Puryushkis, G
DIFFERENTIAL EQUATIONS, 1998, 34 (04) : 573 - 575
[39] DIRICHLET PROBLEM FOR A CLASS OF ELLIPTIC SYSTEMS
ZOLOTAREVA, EV
DOKLADY AKADEMII NAUK SSSR, 1960, 132 (04): : 751 - 753
[40] W(2,2) REGULARITY FOR WEAK SOLUTIONS OF ELLIPTIC-SYSTEMS WITH NONSTANDARD GROWTH
BHATTACHARYA, T
LEONETTI, F
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 176 (01) : 224 - 234

← 1 2 3 4 5 →