Multiobjective variational problems in a geometric setting

Ariana Pitea, Tadeusz Antczak

A class of multitime multiobjective variational problems with
partial differential equations and/or inequations constraints in a
geometric setting is studied. Necessary efficiency conditions and
sufficient efficiency conditions are proved, by means of generalized
convexities. Multiobjective variational dual problems are introduced
and several duality results are established.