This is the expanded text of a lecture about viscosity solutions of degenerate elliptic equations delivered at the XVI Congresso UMI. The aim of the paper is to review some fundamental results of the theory as developed in the last twenty years and to point out some of its recent developments and applications.
@article{BUMI_2001_8_4B_1_1_0, author = {Italo Capuzzo Dolcetta}, title = {Soluzioni di viscosit\`a}, journal = {Bollettino dell'Unione Matematica Italiana}, volume = {4-A}, year = {2001}, pages = {1-29}, zbl = {1036.49032}, mrnumber = {1821395}, language = {it}, url = {http://dml.mathdoc.fr/item/BUMI_2001_8_4B_1_1_0} }
Capuzzo Dolcetta, Italo. Soluzioni di viscosità. Bollettino dell'Unione Matematica Italiana, Tome 4-A (2001) pp. 1-29. http://gdmltest.u-ga.fr/item/BUMI_2001_8_4B_1_1_0/
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