On the Sets of Regularity of Solutions for a Class of Degenerate Nonlinear Elliptic Fourth-Order Equations with L1 Data

Filippo Nicolosi; Salvatore Bonafede

On the Sets of Regularity of Solutions for a Class of Degenerate Nonlinear Elliptic Fourth-Order Equations with L1 Data

Filippo Nicolosi, Salvatore Bonafede

Risultato della ricerca: Article › peer review

Abstract

We establish Hölder continuity of generalized solutions of the Dirichlet problem, associated to a degenerate nonlinear fourth-order equation in an open bounded set Ω ⊂ ℝn, with L1 data, on the subsets of Ω where the behavior of weights and of the data is regular enough.

Lingua originale	English
pagine (da-a)	1-15
Numero di pagine	15
Rivista	Boundary Value Problems
Volume	2007
Stato di pubblicazione	Published - 2007
Pubblicato esternamente	Sì

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title = "On the Sets of Regularity of Solutions for a Class of Degenerate Nonlinear Elliptic Fourth-Order Equations with L1 Data",

abstract = "We establish H{\"o}lder continuity of generalized solutions of the Dirichlet problem, associated to a degenerate nonlinear fourth-order equation in an open bounded set Ω ⊂ ℝn, with L1 data, on the subsets of Ω where the behavior of weights and of the data is regular enough.",

keywords = "Elliptic equations, Renormalized solutions, growth condition, Elliptic equations, Renormalized solutions, growth condition",

author = "Filippo Nicolosi and Salvatore Bonafede",

year = "2007",

language = "English",

volume = "2007",

pages = "1--15",

journal = "Boundary Value Problems",

issn = "1687-2762",

publisher = "Springer Publishing Company",

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T1 - On the Sets of Regularity of Solutions for a Class of Degenerate Nonlinear Elliptic Fourth-Order Equations with L1 Data

AU - Nicolosi, Filippo

AU - Bonafede, Salvatore

PY - 2007

Y1 - 2007

N2 - We establish Hölder continuity of generalized solutions of the Dirichlet problem, associated to a degenerate nonlinear fourth-order equation in an open bounded set Ω ⊂ ℝn, with L1 data, on the subsets of Ω where the behavior of weights and of the data is regular enough.

AB - We establish Hölder continuity of generalized solutions of the Dirichlet problem, associated to a degenerate nonlinear fourth-order equation in an open bounded set Ω ⊂ ℝn, with L1 data, on the subsets of Ω where the behavior of weights and of the data is regular enough.

KW - Elliptic equations

KW - Renormalized solutions

KW - growth condition

KW - Elliptic equations

KW - Renormalized solutions

KW - growth condition

UR - http://hdl.handle.net/10447/14786

UR - https://boundaryvalueproblems.springeropen.com/articles/10.1155/2007/65825

M3 - Article

VL - 2007

SP - 1

EP - 15

JO - Boundary Value Problems

JF - Boundary Value Problems

SN - 1687-2762

ER -

On the Sets of Regularity of Solutions for a Class of Degenerate Nonlinear Elliptic Fourth-Order Equations with L1 Data

Abstract

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