Displaying similar documents to “Kelvin principle for a class of singular equations.”

Integrable systems in the plane with center type linear part

Javier Chavarriga (1994)

Applicationes Mathematicae


We study integrability of two-dimensional autonomous systems in the plane with center type linear part. For quadratic and homogeneous cubic systems we give a simple characterization for integrable cases, and we find explicitly all first integrals for these cases. Finally, two large integrable system classes are determined in the most general nonhomogeneous cases.

The Poisson integral for a ball in spaces of constant curvature

Eleutherius Symeonidis (2003)

Commentationes Mathematicae Universitatis Carolinae


We present explicit expressions of the Poisson kernels for geodesic balls in the higher dimensional spheres and real hyperbolic spaces. As a consequence, the Dirichlet problem for the projective space is explicitly solved. Comparison of different expressions for the same Poisson kernel lead to interesting identities concerning special functions.