A Boundedness Result for Minimizers of Some Polyconvex Integrals

作者:Carozza, Menita; Gao, Hongya; Giova, Raffaella; Leonetti, Francesco*
来源:Journal of Optimization Theory and Applications, 2018, 178(3): 699-725.
DOI:10.1007/s10957-018-1335-0

摘要

We consider polyconvex functionals of the Calculus of Variations defined on maps from the three-dimensional Euclidean space into itself. Counterexamples show that minimizers need not to be bounded. We find conditions on the structure of the functional, which force minimizers to be locally bounded.