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.

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

A Fiaschi;
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.
2012
Istituto di Matematica Applicata e Tecnologie Informatiche - IMATI -
Bounded Slope Condition
Lipschitz continuity
Regularity of minimizers
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/218998
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