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Esistenza ed unicità delle soluzioni del problema esterno di Dirichlet per le equazioni ellittiche. Nota II

Silvano Matarasso — 1972

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

After having shown some cases in which one can apply theorems of Nota I, we give a theorem of Freedholm alternative. Then we consider solutions of the problem, having at infinity an assigned polinomial growth and prove for them a theorem of existence and uniqueness.

Variational inequalities and rearrangements

Angelo AlvinoSilvano MatarassoGuido Trombetti — 1992

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

We give comparison results for solutions of variational inequalities, related to general elliptic second order operators, involving solutions of symmetrized problems, using Schwarz spherical symmetrization.

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