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Wellposed convex integral functionals |
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| Authors: | D Percivale T Zolezzi |
| Institution: | 1. Istituto Matematico di Ingegneria , Universita ’ di Genova , Genova, 16129, Italy E-mail: percival@dima.unige.it;2. Dipartimento di Matematica , Universita ’ di Genova , Genova, 16146, Italy E-mail: zolezzi@dima.unige.it |
| Abstract: | Sufficient conditions are obtained for wellposedness of convex minimum problems of the calculus of variations for multiple integrals under strong or weak perturbations of the boundary data. Problems with a unique minimizer as well as problems with several solutions are treated. Wellposedness under weak convergence of the boundary data in W1 p ω is proved if p >2 and a counterexample is exhibited if p =2. |
| Keywords: | AMS (MOS) Subject Classification: 49 K 40 AMS (MOS) Subject Classification: 49 J 45 |