Summary
We study a class of singular or degenerate parabolic variational inequalities, containing some nonlinear operators. We prove an existence and uniqueness result for weak solutions, in the framework of suitable Banach weighted spaces.
Sunto
Si studia una classe di disequazioni variazionali paraboliche singolari o degeneri, contenenti operatori non lineari. Si dimostra un risultato di esistenza e unicità per soluzioni deboli, nell'ambito di opportuni spazi di Banach con peso.
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This work was supported in part by the «Istituto di Analisi Numerica del C.N.R.» (Pavia, Italy), the G.N.A.F.A. of the C.N.R. and the Ministero della Pubblica Istruzione (Italy) (through 60% and 40% grants).
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Bernardi, M.L., Pozzi, G.A. On a class of singular nonlinear parabolic variational inequalities. Annali di Matematica pura ed applicata 159, 117–131 (1991). https://doi.org/10.1007/BF01766297
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DOI: https://doi.org/10.1007/BF01766297