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Application de la théorie de la transversalité topologique à des problèmes non linéaires pour des équations différentielles ordinaires

Marlène Frigon — 1990

TABLE DES MATIÈRESIntroduction .....................................................................................................5I. PréliminairesI.1.   Notations et définitions.............................................................................7I.2.   Espaces de Sobolev.................................................................................8I.3.   Transversalité topologique .....................................................................10II. Intervalle d'existence de...

Some problems of parabolic type with discontinuous nonlinearities on convex constraints

Marlène Frigon;  Antonio Marino;  Claudio Saccon — 1990

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We study semilinear equations and inequalities of parabolic type with discontinuous nonlinearities, possibly subjected to convex or even nonconvex constraint conditions. To prove some existence theorems we regard the solutions as «curves of maximal relaxed slope» for a suitable functional on the given constraint.

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