Geodesic
Hopf maximum principle revisited
Electronic journal of differential equations, Tome 2015 (2015)
A weak version of Hopf maximum principle for elliptic equations in divergence form

$ \sum_{i,j=1}^N\partial_i(a_{ij}(x)\partial_ju)=0 $

with Holder continuous coefficients $a_{ij}$ was shown in [3], in the two-dimensional case. It was also pointed out that this result could be extended to any dimension. The objective of the present note is to provide a complete proof of this fact, and to cover operators more general than the one studied in [3].
Classification : 35B50
Keywords: maximum principle 
@article{EJDE_2015__2015__a41,
     author = {Sabina de Lis,  Jose C.},
     title = {Hopf maximum principle revisited},
     journal = {Electronic journal of differential equations},
     year = {2015},
     volume = {2015},
     zbl = {1331.35065},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a41/}
}
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%A Sabina de Lis,  Jose C.
%T Hopf maximum principle revisited
%J Electronic journal of differential equations
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Sabina de Lis,  Jose C. Hopf maximum principle revisited. Electronic journal of differential equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a41/