Geodesic
Estimates for smooth absolutely minimizing Lipschitz extensions
Electronic journal of differential equations, Tome 1993 (1993) no. 3
I present some elementary maximum principle arguments, establishing interior gradient bounds and Harnack inequalities for both $u$ and |Du|, where u is a smooth solution of the degenerate elliptic PDE
Classification : 35J70, 26A16
Keywords: Lipschitz extensions, Harnack inequalities 
@article{EJDE_1993__1993_3_a0,
     author = {Evans,  Lawrence C.},
     title = {Estimates for smooth absolutely minimizing {Lipschitz} extensions},
     journal = {Electronic journal of differential equations},
     year = {1993},
     volume = {1993},
     number = {3},
     zbl = {0809.35032},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1993__1993_3_a0/}
}
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Evans,  Lawrence C. Estimates for smooth absolutely minimizing Lipschitz extensions. Electronic journal of differential equations, Tome 1993 (1993) no. 3. http://geodesic.mathdoc.fr/item/EJDE_1993__1993_3_a0/