Symmetry of a boundary integral operator and a characterization of a ball

Illinois Journal of Mathematics

Volumn 45, Issue 2, 2001, Pages 537-543

  Lim, Mikyoung ^a  

^a Seoul National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035376943     PISSN: 00192082     EISSN: None     Source Type: Journal    
DOI: 10.1215/ijm/1258138354     Document Type: Article

References (8)

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5. O. Mendez and W. Reichel, Electrostatic characterization of spheres, Forum Math. 12 (2000), 223-245.
6. W. Reichel, Radial symmetry for elliptic boundary-value problems on exterior domains, Arch. Rational Mech. Analysis 137 (1997), 381-394.
7. H. Shahgholian, A characterization of the sphere in terms of single-layer potentials, Proc. American Math. Soc. 115 (1992), 1167-1168.
8. G. C. Verchota, Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains, J. Functional Analysis 59 (1984), 572-611.