Article ID Journal Published Year Pages File Type
839259 Nonlinear Analysis: Theory, Methods & Applications 2016 28 Pages PDF
Abstract

We study a class of two-phase inhomogeneous free boundary problems governed by elliptic equations in divergence form. In particular we prove that Lipschitz or flat free boundaries are C1,γC1,γ. Our results apply to the classical Prandtl–Bachelor model in fluiddynamics.

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Physical Sciences and Engineering Engineering Engineering (General)
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Regularity of the free boundary for two-phase problems governed by divergence form equations and applications
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