Existence and regularity of solutions to a system of degenerate nonlinear fourth-order equations

被引：6

作者：

Kovalevsky, A

Nicolosi, F ^{[1
]}

机构：

[1] Univ Catania, Dept Math & Informat, I-95125 Catania, Italy

[2] Inst Appl Math & Mech, UA-83114 Donetsk, Ukraine

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 61卷 / 03期

关键词：

system of degenerate nonlinear fourth-order equations; strengthened ellipticity condition; Dirichlet problems; existence and regularity of solutions;

D O I：

10.1016/j.na.2004.07.044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The solvability and regularity properties of solutions to the system of degenerate nonlinear fourth-order equations are discussed. The theory of monotone operators proved the existence of a generalized solution of the Dirichlet problem for the system. A result on Hölder continuity of generalized solutions of the Dirichlet problem is established. The high-order equation with degenerate nonlinear elliptical operator satisfied the strengthened ellipticity condition boundness and regularity.

引用

页码：281 / 307

页数：27

共 7 条

[1] [Anonymous], [No title captured]
[2] [Anonymous], [No title captured]
[3] On regularity up to the boundary of solutions to degenerate nonlinear elliptic high-order equations
Kovalevsky, A
Nicolosi, F
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 40 (1-8) : 365 - 379
[4] KOVALEVSKY A, 2000, HOLDER CONTINUITY SO, P205
[5] Ladyzhenskaya O., 1968, LINEAR QUASILINEAR E, DOI DOI 10.1090/MMONO/023
[6] Lions Jacques-Louis, 1969, QUELQUES METHODES RE
[7] SKRYPNIK IV, 1973, NONLINEAR ELLIPTIC E

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