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

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2022年 / 19卷 / 04期

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

页数：17

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