Geodesic
Hopf maximum principle revisited
Electronic Journal of Differential Equations, Tome 2015 (2015).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     author = {Sabina de Lis, Jose C.},
     title = {Hopf maximum principle revisited},
     journal = {Electronic Journal of Differential Equations},
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     volume = {2015},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a41/}
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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/