The bounded slope condition for functionals depending on x, u, and ? u

Academic Article
Publication Date:
2012
abstract:
A global regularity result is proved for a class of minimizers of functionals of the form I(u) = integral(Omega) f(vertical bar del u(x)vertical bar) + g(x, u(x)) dx, u is an element of phi + W-0(1,1) (Omega), where phi satisfies the Bounded Slope Condition.
Iris type:
01.01 Articolo in rivista
Keywords:
Bounded Slope Condition; Lipschitz continuity; Regularity of minimizers
List of contributors:
Handle:
https://iris.cnr.it/handle/20.500.14243/218998
Published in:
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
Journal