• xmlui.mirage2.page-structure.header.title
    • français
    • English
  • Help
  • Login
  • Language 
    • Français
    • English
View Item 
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Browse

BIRDResearch centres & CollectionsBy Issue DateAuthorsTitlesTypeThis CollectionBy Issue DateAuthorsTitlesType

My Account

LoginRegister

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors
Thumbnail

Global L∞ gradient estimates for solutions to a certain degenerate elliptic equation

Brasco, Lorenzo (2011), Global L∞ gradient estimates for solutions to a certain degenerate elliptic equation, Nonlinear Analysis: Theory, Methods & Applications, 74, 2, p. 511-531. http://dx.doi.org/10.1016/j.na.2010.09.006

View/Open
lipschitz_estimate_mod.pdf (390.6Kb)
Type
Article accepté pour publication ou publié
Date
2011
Journal name
Nonlinear Analysis: Theory, Methods & Applications
Volume
74
Number
2
Publisher
Elsevier
Pages
511-531
Publication identifier
http://dx.doi.org/10.1016/j.na.2010.09.006
Metadata
Show full item record
Author(s)
Brasco, Lorenzo
Abstract (EN)
In view of the applications in the study of regularity properties of minimizers for a continuous model of transportation, which is a kind of divergence-constrained optimization problem, we prove a global L∞ gradient estimate for solutions of an elliptic equation, whose ellipticity constants become degenerate at every point where |∇u|≤δ, with δ>0. The exposition is as self-contained as possible.
Subjects / Keywords
Degenerate elliptic equations; Neumann boundary value problem; Non-convex variational problems; Traffic congestion

Related items

Showing items related by title and author.

  • Thumbnail
    Congested traffic dynamics, weak flows and very degenerate elliptic equations 
    Brasco, Lorenzo; Carlier, Guillaume; Santambrogio, Filippo (2010) Article accepté pour publication ou publié
  • Thumbnail
    On certain anisotropic elliptic equations arising in congested optimal transport: local gradient bounds 
    Carlier, Guillaume; Brasco, Lorenzo (2013) Article accepté pour publication ou publié
  • Thumbnail
    Gradient estimates for a degenerate parabolic equation with gradient absorption and applications 
    Bartier, Jean-Philippe; Laurençot, Philippe (2007) Article accepté pour publication ou publié
  • Thumbnail
    Alexandroff-Bakelman-Pucci estimate and Harnack inequality for degenerate/singular fully non-linear elliptic equations 
    Imbert, Cyril (2011) Article accepté pour publication ou publié
  • Thumbnail
    Existence of global branches of positive solutions for semilinear elliptic degenerate problems 
    Esteban, Maria J.; Giacomoni, Jacques (2000) Article accepté pour publication ou publié
Dauphine PSL Bibliothèque logo
Place du Maréchal de Lattre de Tassigny 75775 Paris Cedex 16
Phone: 01 44 05 40 94
Contact
Dauphine PSL logoEQUIS logoCreative Commons logo