Geodesic
Some problems of parabolic type with discontinuous nonlinearities on convex constraints
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 1 (1990) no. 1, pp. 41-52.

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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.
Si studiano alcune equazioni e disequazioni di tipo parabolico semilineare con termine non lineare discontinuo, in presenza di condizioni di vincolo anche non convesse. Per ottenere dei teoremi di esistenza si interpretano le soluzioni come «curve di massima pendenza rilassata» per un opportuno funzionale sul vincolo considerato. 
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Frigon, Marlène; Marino, Antonio; Saccon, Claudio. Some problems of parabolic type with discontinuous nonlinearities on convex constraints. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 1 (1990) no. 1, pp. 41-52. http://geodesic.mathdoc.fr/item/RLIN_1990_9_1_1_a7/

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