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.
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页码：281 / 307
页数：27
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