Jose C. Sabina de Lis
Abstract:
A weak version of Hopf maximum principle for elliptic equations in divergence
form
with Holder continuous coefficients
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].
Submitted December 29, 2014. Published April l28, 2015.
Math Subject Classifications: 35B50.
Key Words: Maximum principle.
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José C. Sabina de Lis Departamento de Análisis Matemático and IUEA Universidad de La Laguna C. Astrofísico Francisco Sánchez s/n, 38203 La Laguna, Spain email: josabina@ull.es |
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