Morrey regularity of solutions of fully non-linear elliptic systems

被引：4

作者：

Fattorusso, Luisa ^{[1
]}

Tarsia, Antonio ^{[1
]}

机构：

[1] Univ Mediterranea Reggio Calabria, Dipartimento Informat Matemat Elettron & Trasport, Reggio Di Calabria, Italy

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2010年 / 55卷 / 5-6期

关键词：

fully non-linear elliptic systems; Morrey spaces;

D O I：

10.1080/17476930802657624

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Omega be a bounded convex open set of R-n, n >= 2, of class C-2,C-1. We consider the following Dirichlet problem {u is an element of H-2 boolean AND H-0(1)(Omega, R-N) F(x, D(2)u) = f(x), a.e. in Omega, where f is an element of L-2,L-lambda (Omega, R-N), 0 < lambda < n, and F satisfying the condition A(x). We show that there exists epsilon is an element of (0, 1) such that D(2)u is an element of L-2,L-mu(Omega, R-N), where mu is an element of (0, lambda) and mu < n epsilon.

引用

页码：537 / 548

页数：12

共 50 条

[41] The boundary regularity of non-linear parabolic systems I
Boegelein, Verena
Duzaar, Frank
Mingione, Giuseppe
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2010, 27 (01): : 201 - 255
[42] Sobolev-Morrey regularity of solutions to general quasilinear elliptic equations
Byun, Sun-Sig
Palagachev, Dian K.
Shin, Pilsoo
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2016, 147 : 176 - 190
[43] REGULARITY OF GENERALIZED SOLUTIONS OF LINEAR, NON-UNIFORMLY ELLIPTIC EQUATIONS
TRUDINGER, NS
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1971, 42 (01) : 50 - +
[44] THE REGULARITY OF SOLUTIONS TO NONLINEAR ELLIPTIC EQUATIONS IN ORLICZ-MORREY SPACES
Gadjiev, Tahir S.
TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, 2023, 177 (02) : 177 - 188
[45] Weighted Morrey Regularity of Weak Solutions for Degenerate Elliptic Dirichlet Problem
Cui, Xuewei
Niu, Pengcheng
PROCEEDINGS OF THE NINTH INTERNATIONAL CONFERENCE ON INFORMATION AND MANAGEMENT SCIENCES, 2010, 9 : 488 - 491
[46] Regularity of Viscous Solutions for a Degenerate Non-linear Cauchy Problem
Hernandez-Sastoque, Eric
Klingenberg, Christian
Rendon, Leonardo
Juajibioy, Juan C.
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2016, 29 (01): : 14 - 21
[47] SOME SOLUTIONS TO NON-LINEAR SYSTEMS
PRUSTY, S
DEEKSHATULU, BL
CONTROL, 1967, 11 (107): : 227 - +
[48] REGULARITY OF SOLUTIONS OF FULLY NONLINEAR ELLIPTIC-EQUATIONS
TRUDINGER, NS
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1984, 3A (03): : 421 - 430
[49] On the regularity of viscosity solutions of fully nonlinear elliptic equations
Kovats, Jay
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 63 (5-7) : E1341 - E1350
[50] Fully non-linear elliptic equations on compact almost Hermitian manifolds
Jianchun Chu
Liding Huang
Jiaogen Zhang
Calculus of Variations and Partial Differential Equations, 2023, 62

← 1 2 3 4 5 →