On the Bounded Slope Condition and the Validity of the Euler Lagrange Equation
نویسنده
چکیده
Under the bounded slope condition on the boundary values of a minimization problem for a functional of the gradient of u, we show that a continuous minimizer w is, in fact, Lipschitzian. An application of this result to prove the validity of the Euler Lagrange equation for w is presented.
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ورودعنوان ژورنال:
- SIAM J. Control and Optimization
دوره 40 شماره
صفحات -
تاریخ انتشار 2002