Geodesic
On the smoothness of viscosity solutions of the prescribed Levi-curvature equation
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 10 (1999) no. 2, pp. 61-68.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

In this paper a \( C^{\infty} \)-regularity result for the strong viscosity solutions to the prescribed Levi-curvature equation is announced. As an application, starting from a result by Z. Slodkowski and G. Tomassini, the \( C^{\infty} \)-solvability of the Dirichlet problem related to the same equation is showed.
In questa Nota viene annunciato un teorema di regolarità \( C^{\infty} \) delle soluzioni viscose, in senso forte, dell’equazione di Levi con assegnata curvatura. Da questo teorema, e da un precedente risultato di Slodkowski e Tomassini, segue la risultibilità \( C^{\infty} \), in senso classico, del problema di Dirichlet relativo alla stessa equazione. 
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Citti, Giovanna; Lanconelli, Ermanno; Montanari, Annamaria. On the smoothness of viscosity solutions of the prescribed Levi-curvature equation. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 10 (1999) no. 2, pp. 61-68. http://geodesic.mathdoc.fr/item/RLIN_1999_9_10_2_a0/

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