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Paper detail

A Bernoulli problem with non constant gradient boundary constraint

We present in this paper a result about existence and convexity of solutions to a free boundary problem of Bernoulli type, with non constant gradient boundary constraint depending on the outer unit normal. In particular we prove that, in the convex case, the existence of a subsolution guarantees the existence of a classical solution, which is proved to be convex.

preprint2010arXivOpen access
Chiara Bianchini
math.AP
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Chiara Bianchini

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