Symmetry problems 2

• Autorzy: N. S. Hoang , A. G. Ramm
• Języki publikacji: EN

Abstrakty

EN

Some symmetry problems are formulated and solved. New simple proofs are given for some symmetry problems studied earlier. One of the results is as follows: if a single-layer potential of a surface, homeomorphic to a sphere, with a constant charge density, is equal to c/|x| for all sufficiently large |x|, where c > 0 is a constant, then the surface is a sphere.

Kategorie tematyczne

• 31B20: Boundary value and inverse problems
• 35J05: Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2009
• Tom: 96
• Numer: 1
• Strony: 61-64

Daty

wydano

2009

Twórcy

autor

N. S. Hoang

• Mathematics Department, Kansas State University, Manhattan, KS 66506-2602, U.S.A.

autor

A. G. Ramm

• Mathematics Department, Kansas State University, Manhattan, KS 66506-2602, U.S.A.

Identyfikatory

DOI

10.4064/ap96-1-5