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

共 49 条

[1]

Alvino A., 2003, Ann. Mat. Pura Appl., V182, P53

[2]

[Anonymous], 1965, ANN I FOURIER, DOI DOI 10.5802/AIF.204

[3]

[Anonymous], 1968, Translations of Mathematical Monographs

[4]

[Anonymous], 1996, Ann. Scuola Norm. Sup. Pisa Cl. Sci.

[5] L-INFINITY ESTIMATE FOR SOME NONLINEAR ELLIPTIC PARTIAL-DIFFERENTIAL EQUATIONS AND APPLICATION TO AN EXISTENCE RESULT [J].

BOCCARDO, L ;

MURAT, F ;

PUEL, JP .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1992, 23 (02) :326-333

[6]

Boccardo L., 1998, Atti del Seminario Matematico e Fisico dellUniversita di Modena, V46, P51

[7] ON THE BOUNDEDNESS OF MINIMIZERS OF SOME INTEGRAL FUNCTIONALS WITH DEGENERATE ANISOTROPIC INTEGRANDS [J].

Bonafede, S. .

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2018, 48 (06) :1781-1797

[8] The regularity of generalized solutions of degenerate nonlinear higher order elliptic systems [J].

Bonafede, S. ;

Nicolosi, F. .

APPLICABLE ANALYSIS, 2010, 89 (03) :337-352

[9] Morrey estimates for solutions of singular quadratic nonlinear equations [J].

Cianci, P. ;

Cirmi, G. R. ;

D'Asero, S. ;

Leonardi, S. .

ANNALI DI MATEMATICA PURA ED APPLICATA, 2017, 196 (05) :1739-1758

[10] Regularity results for solutions of nonlinear elliptic equations with L1,λ data [J].

Cirmi, G. R. ;

Leonardi, S. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (01) :230-244

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