Existence of Holder Continuous Solutions for a Class of Degenerate Fourth-Order Elliptic Equations

被引:1
作者
Cirmi, G. R. [1 ]
D'Asero, S. [1 ]
Leonardi, S. [1 ]
机构
[1] Dipartimento Matemat & Informat, Viale A Doria 6, I-95125 Catania, Italy
关键词
High-order equations; Nonlinear elliptic problems; Degenerate coercivity; Boundedness; Holder's continuity; LOWER-ORDER TERMS; PARABOLIC-SYSTEMS; VMO-COEFFICIENTS; REGULARITY; GRADIENT; DIFFERENTIABILITY; BOUNDARY; THEOREMS;
D O I
10.1007/s00009-022-02090-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper deals with the existence of bounded and locally Holder continuous weak solutions of a homogeneous Dirichlet problem related to a class of nonlinear fourth-order elliptic equations with strengthened degenerate ellipticity condition.
引用
收藏
页数:17
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