A symmetry problem

• Autorzy: A. G. Ramm
• Języki publikacji: EN

Abstrakty

EN

Consider the Newtonian potential of a homogeneous bounded body D ⊂ ℝ³ with known constant density and connected complement. If this potential equals c/|x| in a neighborhood of infinity, where c>0 is a constant, then the body is a ball. This known result is now proved by a different simple method. The method can be applied to other problems.

Kategorie tematyczne

• 31A25: Boundary value and inverse problems
• 35J15: Second-order elliptic equations
• 35J05: Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2007
• Tom: 92
• Numer: 1
• Strony: 49-54

Daty

wydano

2007

Twórcy

autor

A. G. Ramm

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

Identyfikatory

DOI

10.4064/ap92-1-5