New Liouville theorems for linear second order degenerate elliptic equations in divergence form
Luisa Moschini (2005)
Annales de l'I.H.P. Analyse non linéaire
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Luisa Moschini (2005)
Annales de l'I.H.P. Analyse non linéaire
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Francesca Alessio, Paolo Caldiroli, Piero Montecchiari (1998)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We show, by variational methods, that there exists a set open and dense in such that if then the problem , with subcritical (or more general nonlinearities), admits infinitely many solutions.
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).
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.