A relaxation result for autonomous integral functionals with discontinuous non-coercive integrand

Author:

Mariconda Carlo,Treu Giulia

Publisher

EDP Sciences

Subject

Computational Mathematics,Control and Optimization,Control and Systems Engineering

Reference9 articles.

1. G. Alberti and F. Serra Cassano, Non-occurrence of gap for one-dimensional autonomous functionals.Ser. Adv. Math. Appl. Sci. Calculus of variations, homogenization and continuum mechanics18(1993) 1-17.

2. Integral representation of functionals defined on curves of W1,p

3. Lipschitz regularity for minimizers of integral functionals with highly discontinuous integrands

4. G. Buttazzo, Semicontinuity, relaxation and integral representation in the calculus of variations.Pitman Res. Notes Math. Ser.207(1989).

5. A. Cellina,The classical problem of the calculus of variations in the autonomous case: Relaxation and lipschitzianity of solutions. Preprint (2001).

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Relaxation and regularity in the calculus of variations;Journal of Differential Equations;2010-11

2. Lipschitz regularity for minima without strict convexity of the Lagrangian;Journal of Differential Equations;2007-12

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