
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
Type
Article accepté pour publication ou publiéDate
2011Journal name
Nonlinear Analysis: Theory, Methods & ApplicationsVolume
74Number
2Publisher
Elsevier
Pages
511-531
Publication identifier
Metadata
Show full item recordAuthor(s)
Brasco, LorenzoAbstract (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 congestionRelated items
Showing items related by title and author.
-
Brasco, Lorenzo; Carlier, Guillaume; Santambrogio, Filippo (2010) Article accepté pour publication ou publié
-
Carlier, Guillaume; Brasco, Lorenzo (2013) Article accepté pour publication ou publié
-
Bartier, Jean-Philippe; Laurençot, Philippe (2007) Article accepté pour publication ou publié
-
Imbert, Cyril (2011) Article accepté pour publication ou publié
-
Esteban, Maria J.; Giacomoni, Jacques (2000) Article accepté pour publication ou publié