Geodesic
Regularity properties of solutions of elliptic equations in \( \mathbb{R}^{2} \) in limit cases
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 6 (1995) no. 4, pp. 237-250.

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

In this paper the Dirichlet problem for a linear elliptic equation in an open, bounded subset of \( \mathbb{R}^{2} \) is studied. Regularity properties of the solutions are proved, when the data are \( L^{1} \)-functions or Radon measures. In particular sharp assumptions which guarantee the continuity of solutions are given.
In questa Nota si studia il problema di Dirichlet per un'equazione lineare ellittica in un insieme aperto, limitato di \( \mathbb{R}^{2} \). Sono provate proprietà di regolarità per le soluzioni, quando i dati sono funzioni di \( L^{1} \) oppure misure di Radon. In particolare sono date ipotesi ottimali che garantiscono la continuità delle soluzioni. 
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Alberico, Angela; Ferone, Vincenzo. Regularity properties of solutions of elliptic equations in \( \mathbb{R}^{2} \) in limit	cases. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 6 (1995) no. 4, pp. 237-250. http://geodesic.mathdoc.fr/item/RLIN_1995_9_6_4_a2/

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