On the curvature of the free boundary for the obstacle problem in two dimensions

Monatshefte fur Mathematik

Volumn 142, Issue 1-2, 2004, Pages 1-5

  Gustafsson, Björn ^a   Sakai, Makoto ^b  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^b TOKYO METROPOLITAN UNIVERSITY   (Japan)

Author keywords

Convexity; Curvature; Free boundary; Inner ball condition; Obstacle problem; Poincar metric

Indexed keywords

EID: 3042571151     PISSN: 00269255     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00605-004-0233-8     Document Type: Conference Paper

References (10)

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4. Gustafsson B, Sakai M (1994) Properties of some balayage operators with applications to quadrature domains and moving boundary problems. Nonlinear Anal 22: 1221-1245
5. Gustafsson B, Sakai M (2003) Sharp estimates of the curvature of some free boundaries in two dimensions. Ann Acad Scient Fenn Math 28: 123-142
6. Hörmander L (1994) Notions of Convexity. Boston: Birkhäuser
7. Rodrigues JF (1987) Obstacle Problems in Mathematical Physics. Amsterdam: North-Holland
8. Sakai M (1991) Regularity of boundary having a Schwarz function. Acta Math 166: 263-297
9. Sakai M (1993) Regularity of free boundaries in two dimensions. Ann Scuola Norm Sup Pisa Cl Sci 20(4): 323-339
10. Schaeffer DG (1977) One-sided estimates for the curvature of the free boundary in the obstacle problem. Adv Math 24: 78-98