Add to ORKGThe Tonelli existence theorem in the calculus of variations and its subsequent modifica-tions were established for integrands f which satisfy convexity and growth conditions. In 1996, the author obtained a generic existence and uniqueness result (with respect to variations of the integrand of the integral functional) without the convexity condition for a class of optimal control problems satisfying the Cesari growth condition. In this paper, we survey this result and its recent extensions, and establish several new results in this direction. 1
In this paper we investigate Lipschitz continuity of optimal solutions for the Bolza optimal control...
This article studies calculus of variations problems under a convexity constraint. The main motivati...
In the classical calculus of variations, the Hamilton - Jacobi theory leads, under general hypothese...
AbstractThe Tonelli existence theorem in the calculus of variations and its subsequent modifications...
AbstractThe Tonelli existence theorem in the calculus of variations and its subsequent modifications...
AbstractThe existence of solutions is established for a very general class of problems in the calcul...
We prove existence of minimizers for a class of non-convex and non-coercive integral functional
Abstract. Local Lipschitz continuity of minimizers of certain integrals of the Calculus of Variation...
We present new sufficient conditions for existence of solutions to some nonconvex and noncoercive La...
Local Lipschitz continuity of minimizers of certain integrals of the Calculus of Variations is obtai...
Abstract. First, a remark is made that a growth condition contained in previous papers by Cesari con...
We prove the uniqueness of the solution for a non-strictly convex problem in the Calculus of Variati...
We establish Maximum Principles which apply to vectorial approximate minimizers of the general integ...
The aim of this paper is to give an existence result for a class of one dimensional, non--convex, n...
We study existence of minimizers for non convex integral functionals. Applying some new results on d...
In this paper we investigate Lipschitz continuity of optimal solutions for the Bolza optimal control...
This article studies calculus of variations problems under a convexity constraint. The main motivati...
In the classical calculus of variations, the Hamilton - Jacobi theory leads, under general hypothese...
AbstractThe Tonelli existence theorem in the calculus of variations and its subsequent modifications...
AbstractThe Tonelli existence theorem in the calculus of variations and its subsequent modifications...
AbstractThe existence of solutions is established for a very general class of problems in the calcul...
We prove existence of minimizers for a class of non-convex and non-coercive integral functional
Abstract. Local Lipschitz continuity of minimizers of certain integrals of the Calculus of Variation...
We present new sufficient conditions for existence of solutions to some nonconvex and noncoercive La...
Local Lipschitz continuity of minimizers of certain integrals of the Calculus of Variations is obtai...
Abstract. First, a remark is made that a growth condition contained in previous papers by Cesari con...
We prove the uniqueness of the solution for a non-strictly convex problem in the Calculus of Variati...
We establish Maximum Principles which apply to vectorial approximate minimizers of the general integ...
The aim of this paper is to give an existence result for a class of one dimensional, non--convex, n...
We study existence of minimizers for non convex integral functionals. Applying some new results on d...
In this paper we investigate Lipschitz continuity of optimal solutions for the Bolza optimal control...
This article studies calculus of variations problems under a convexity constraint. The main motivati...
In the classical calculus of variations, the Hamilton - Jacobi theory leads, under general hypothese...