no. 1
A boundary value problem of the Dirichlet type for Hamilton-Jacobi equations
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 16 (1989) no. 1, pp. 105-135. 
@article{ASNSP_1989_4_16_1_105_0,
     author = {Ishii, Hitoshi},
     title = {A boundary value problem of the Dirichlet type for Hamilton-Jacobi equations},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {105--135},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 16},
     number = {1},
     year = {1989},
     zbl = {0701.35052},
     mrnumber = {1056130},
     language = {en},
     url = {archive.numdam.org/item/ASNSP_1989_4_16_1_105_0/}
}
Ishii, Hitoshi. A boundary value problem of the Dirichlet type for Hamilton-Jacobi equations. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 16 (1989) no. 1, pp. 105-135. http://archive.numdam.org/item/ASNSP_1989_4_16_1_105_0/

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