The Higher Integrability and the Validity of the Euler-Lagrange Equation for Solutions to Variational Problems
نویسندگان
چکیده
We prove higher integrability properties of solutions to the problem of minimizing ∫ Ω L(x, u(x),∇u(x))dx, where ξ → L(x, u, ξ) is a convex function satisfying some additional conditions. As an application, we prove the validity of the Euler–Lagrange equation for a class of functionals with growth faster than exponential.
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ورودعنوان ژورنال:
- SIAM J. Control and Optimization
دوره 50 شماره
صفحات -
تاریخ انتشار 2012