The local boundedness of solutions for a class of degenerate nonlinear elliptic higher-order equations with L1-data

被引：2

作者：

Bonafede, S. ^{[2
]}

Nicolosi, F. ^{[1
]}

机构：

[1] Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy

[2] Univ Palermo, Dipartimento Econ Sistemi Agroforestali, I-90128 Palermo, Italy

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2008年 / 53卷 / 05期

关键词：

Higher-order equations; Weighted functions; Boundedness of solutions;

D O I：

10.1080/17476930701739986

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove local boundedness of solutions for a class of degenerate nonlinear elliptic higher-order equations with L-1-data.

引用

页码：445 / 461

页数：17

共 50 条

[21] Existence of Multiple Solutions of Higher-Order Nonlinear Elliptic Equations
Lubyshev, V. F.
[J]. MATHEMATICAL NOTES, 2011, 89 (1-2) : 255 - 265
[22] ON A SHARP CONDITION FOR THE EXISTENCE OF WEAK SOLUTIONS TO THE DIRICHLET PROBLEM FOR DEGENERATE NONLINEAR ELLIPTIC EQUATIONS WITH POWER WEIGHTS AND L1-DATA
Kovalevsky, Alexander A.
Nicolosi, Francesco
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
[23] Existence of multiple solutions of higher-order nonlinear elliptic equations
V. F. Lubyshev
[J]. Mathematical Notes, 2011, 89 : 255 - 265
[24] On a class of boundary value problems in a strip for degenerate higher-order elliptic equations
A. D. Baev
S. S. Buneev
[J]. Doklady Mathematics, 2013, 87 : 1 - 2
[25] On a class of boundary value problems in a strip for degenerate higher-order elliptic equations
Baev, A. D.
Buneev, S. S.
[J]. DOKLADY MATHEMATICS, 2013, 87 (01) : 1 - 2
[26] Existence and uniqueness of renormalized solutions to nonlinear elliptic equations with variable exponents and L1-data
Wittbold, P.
Zimmermann, A.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (06) : 2990 - 3008
[27] HIGHER-ORDER NONLINEAR DEGENERATE PARABOLIC EQUATIONS
BERNIS, F
FRIEDMAN, A
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1990, 83 (01) : 179 - 206
[28] Renormalized solutions for degenerate elliptic-parabolic problems with nonlinear dynamical boundary conditions and L1-data
Andreu, F.
Igbida, N.
Mazon, J. M.
Toledo, J.
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 244 (11) : 2764 - 2803
[29] Local boundedness for solutions of a class of nonlinear elliptic systems
Cupini, Giovanni
Leonetti, Francesco
Mascolo, Elvira
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2022, 61 (03)
[30] THE OBSTACLE PROBLEM FOR DEGENERATE ANISOTROPIC ELLIPTIC EQUATIONS WITH VARIABLE EXPONENTS AND L1-DATA
Ayadi, Hocine
[J]. JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2021,

← 1 2 3 4 5 →