The existence of minimizers of the action functional without convexity assumption.
The author proves an existence result for minimizers of the functional of classical Calculus of Variations, without any convexity assumption on the Lagrangian function. As a consequence it is also proved the existence of solutions for the Dirichlet problem for a certain differential inclusion being a generalization of the Euler-Lagrange equation of the functional involved.
scientific article; zbMATH DE number 1869661