Alt, H. W.; Caffarelli, L. A. Existence and regularity for a minimum problem with free boundary. (English) Zbl 0449.35105 J. Reine Angew. Math. 325, 105-144 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 30 ReviewsCited in 307 Documents 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 Keywords:minimum problem; harmonic function; free boundary conditions; two dimensional flow problems; heat flow problems; non-degeneracy of the solution; regularity; subharmonic function; regularity theory for minimal surfaces; existense; obstacle problems PDF BibTeX XML Cite \textit{H. W. Alt} and \textit{L. A. Caffarelli}, J. Reine Angew. Math. 325, 105--144 (1981; Zbl 0449.35105) Full Text: Crelle EuDML OpenURL