Convex analysis and variational problems
Convex analysis and variational problems
On the Bounded Slope Condition and the Validity of the Euler Lagrange Equation
SIAM Journal on Control and Optimization
Comparison Results and Estimates on the Gradient without Strict Convexity
SIAM Journal on Control and Optimization
Uniqueness and Comparison Results for Functionals Depending on $\nabla$u and on u
SIAM Journal on Optimization
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A global regularity result is proved for a class of minimizers of functionals of the form $\mathcal I(u)=\int_\Omega f(|\nabla u(x)|)+g(x,u(x))\,dx, u\in\phi+W^{1,1}_0(\Omega)$, where $\phi$ satisfies the Bounded Slope Condition.