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MR1857880 35R35 (35L67 76H05 76L05)
Čanić, Sunčica; Keyfitz, Barbara Lee; Kim, Eun Heui A free boundary problem for a quasi-linear degenerate elliptic equation: regular reflection of weak shocks. Comm. Pure Appl. Math. 55 (2002), no. 1, 71–92.
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