On the continuity of minimizers for quasilinear functionals

Title:

On the continuity of minimizers for quasilinear functionals

Creator:

Cruz-Uribe, David, Di Gironimo, Patrizia, and D´Onofrio, Luigi

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:490cb176-aa1e-4348-9756-580c4ee0ddd4
uuid:490cb176-aa1e-4348-9756-580c4ee0ddd4

Subject:

regularity, quasilinear functionals, and calculus of variations

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this paper we establish a continuity result for local minimizers of some quasilinear functionals that satisfy degenerate elliptic bounds. The non-negative function which measures the degree of degeneracy is assumed to be exponentially integrable. The minimizers are shown to have a modulus of continuity controlled by $\log \log (1/|x|)^{-1}$. Our proof adapts ideas developed for solutions of degenerate elliptic equations by J. Onninen, X. Zhong: Continuity of solutions of linear, degenerate elliptic equations, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 6 (2007), 103–116.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

111-116

Source:

Czechoslovak Mathematical Journal | 2012 Volume:62 | Number:1

Harvested from:

CDK

Metadata only:

false