The Partially Free Boundary Problem for Parametric Double Integrals
نویسندگان
چکیده
We prove the existence of conformally parametrized minimizers for parametric two-dimensional variational problems subject to partially free boundary conditions. We establish regularity of class H loc ∩C1,α, 0 < α < 1, up to the free boundary under the assumption that there exists a perfect dominance function in the sense of C.B. Morrey. Mathematics Subject Classification (2000): 49J45, 49Q10, 49N60, 53A10
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