Bernoulli Free-Boundary Problems
Eugene Shargorodsky · John F. Toland
Jan 2008 · American Mathematical Soc.
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Questions of existence, multiplicity, and regularity of free boundaries for prescribed data need to be addressed and their solutions lead to nonlinear problems. In this paper an equivalence is established between Bernoulli free-boundary problems and a class of equations for real-valued functions of one real variable.
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