Some geometric and analytic properties of solutions of Bernoulli free-boundary problems (Q2470871)
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| Language | Label | Description | Also known as |
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| English | Some geometric and analytic properties of solutions of Bernoulli free-boundary problems |
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Some geometric and analytic properties of solutions of Bernoulli free-boundary problems (English)
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15 February 2008
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The author investigates some properties of solutions of Bernoulli free boundary problems. A Bernoulli free boundary problem is one of finding domains in the plane on which a harmonic function simultaneously satisfies linear homogeneous Dirichlet and inhomogeneous Neumann boundary conditions. For a general class of Bernoulli problems, it is proved that any free boundary, possibly with many singularities, is the graph of a function. The convexity and the monotonicity properties of the free boundaries are also studied.
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Bernoulli free-boundary problem
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convexity
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monotonicity
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stagnation point
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