Geodesic
A lower bound for the gradient of \(\infty\)-harmonic functions
Electronic journal of differential equations, Tome 1996 (1996) no. 2
We establish a lower bound for the gradient of the solution to infinity-Laplace equation in a strongly star-shaped annulus with capacity type boundary conditions. The proof involves properties of the radial derivative of the solution, so that starshapedness of level sets easily follows.
Classification : 35J70, 35B05, 35B50, 31C45
Keywords: infinity-harmonic functions, p-harmonic functions 
@article{EJDE_1996__1996_2_a0,
     author = {Rosset,  Edi},
     title = {A lower bound for the gradient of \(\infty\)-harmonic functions},
     journal = {Electronic journal of differential equations},
     year = {1996},
     volume = {1996},
     number = {2},
     zbl = {0886.35028},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1996__1996_2_a0/}
}
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Rosset,  Edi. A lower bound for the gradient of \(\infty\)-harmonic functions. Electronic journal of differential equations, Tome 1996 (1996) no. 2. http://geodesic.mathdoc.fr/item/EJDE_1996__1996_2_a0/