Ting Fu Wang, Donghai Ji, Zhong Rui Shi (1994)
Commentationes Mathematicae Universitatis Carolinae
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In Orlicz spaces, the necessary and sufficient conditions of strongly exposed points are given.
Michael E. Filippakis, Nikolaos S. Papageorgiou (2006)
Archivum Mathematicum
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We consider first order periodic differential inclusions in . The presence of a subdifferential term incorporates in our framework differential variational inequalities in . We establish the existence of extremal periodic solutions and we also obtain existence results for the “convex” and “nonconvex”problems.
Ralf Bader, Nikolaos Papageorgiou (2000)
Annales Polonici Mathematici
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We consider a quasilinear vector differential equation which involves the p-Laplacian and a maximal monotone map. The boundary conditions are nonlinear and are determined by a generally multivalued, maximal monotone map. We prove two existence theorems. The first assumes that the maximal monotone map involved is everywhere defined and in the second we drop this requirement at the expense of strengthening the growth hypothesis on the vector field. The proofs are based on the theory of...
Evgenios P. Avgerinos, Nikolaos S. Papageorgiou (1998)
Archivum Mathematicum
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In this paper we consider periodic and Dirichlet problems for second order vector differential inclusions. First we show the existence of extremal solutions of the periodic problem (i.e. solutions moving through the extreme points of the multifunction). Then for the Dirichlet problem we show that the extremal solutions are dense in the -norm in the set of solutions of the “convex” problem (relaxation theorem).