Lipschitz regularity for scalar minimizers of autonomous simple integrals

Journal of Mathematical Analysis and Applications

Volumn 300, Issue 2, 2004, Pages 285-296

  Ornelas, António ^a  

^a UNIVERSITY OF ÉVORA   (Portugal)

Author keywords

Calculus of variations; Nonconvex nonlinear integrals; Regularity properties

Indexed keywords

EID: 8644269715     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2004.04.064     Document Type: Article

References (6)

1. L. Ambrosio O. Ascenzi G. Buttazzo Lipschitz regularity for minimizers of integral functionals with highly discontinuous integrands J. Math. Anal. Appl. 142 1989 301-316
2. I. Ekeland R. Temam Convex Analysis and Variational Problems 1976 North-Holland Amsterdam
3. 1 regularity for scalar minimizers of affine simple integrals J. Math. Anal. Appl. 296 2004 21-31
4. A. Ornelas, Existence of scalar minimizers for simple convex integrals with autonomous Lagrangian measurable on the state variable, preprint
5. A. Ornelas, Existence of scalar minimizers for autonomous simple integrals nonconvex except at zero, preprint
6. R.T. Rockafellar R. Wets Variational Analysis 1998 Springer Berlin