The Existence of Minimizers of the Action Functional without Convexity Assumption
نویسندگان
چکیده
We shall prove the existence of minimizers of the following functional f(u) = R T 0 L(x, u(x), u ′(x)) dx without convexity assumption. As a consequence of this result and the duality described in [10] we derive the existence of solutions for the Dirichlet problem for a certain differential inclusion being a generalization of the Euler–Lagrange equation of the functional f .
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