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- W2319613027 abstract "ABSTRACTWe consider a quasilinear elliptic boundary value-problem with homogenenous Dirichlet condition. The data are a convex planar domain. The gradient estimate is needed to ensure the uniform ellipticity, before applying regularity theory. We establish this estimate in terms of a distance, which is equivalent to the Hilbert metric.This fills the proof of existence and uniqueness of a solution to this BVP (boundary-value problem), when the domain is only convex but not strictly, for instance if it is a polygon." @default.
- W2319613027 created "2016-06-24" @default.
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- W2319613027 date "2015-12-14" @default.
- W2319613027 modified "2023-09-25" @default.
- W2319613027 title "Gradient estimate in terms of a Hilbert-like distance, for minimal surfaces and Chaplygin gas" @default.
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- W2319613027 doi "https://doi.org/10.1080/03605302.2015.1127969" @default.
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