International Journal of Mathematics and Mathematical Sciences
Volume 12 (1989), Issue 2, Pages 385-390
doi:10.1155/S016117128900044X
Kelvin principle for a class of singular equations
Abduhllah Altin1
and Eutiquio C. Young2
1Faculty of Science, University of Ankara, Besevler, Ankara, Turkey
2Department of Mathematics, Florida State University, Tallahassee 32306, Florida, USA
Abstract
The classical Kelvin principle concerns invariance of solutions of the Laplace equation with respect to inversion in a sphere. By employing a hyperbolic-polar coordinate system, the principle is extended to cover a class of singular equations, which include the ultrahyperbolic equation.