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Existence and regularity for a minimum problem with free boundary. (English) Zbl 0449.35105

MSC:
35R35 Free boundary problems for PDEs
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
35D10 Regularity of generalized solutions of PDE (MSC2000)
31A05 Harmonic, subharmonic, superharmonic functions in two dimensions
31A35 Connections of harmonic functions with differential equations in two dimensions
31B05 Harmonic, subharmonic, superharmonic functions in higher dimensions
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