EIGENVALUES AND FUŠCIK-SPECTRUM OF THE RADIALLY SYMMETRIC -LAPLACIAN
Rheinsprung 21, CH-4051 Basel, Switzerland
For we consider the -Laplacian boundary value problem
|| on the ball |
with homogeneous boundary conditions on
. Radially symmetric
solutions satisfy an ordinary differential equation. We will discuss
analytical and numerical tools to find all radial eigenvalues of the problem.
In generalization to (1) we also discuss the boundary value problem
|| in |
with homogeneous boundary conditions, where
. A pair of constants
a non-trivial solution exists is called a Fucik-eigenvalue; the
collection of all Fucik-eigenvalues is called the Fucik-spectrum.
We describe the entire radial Fucik-spectrum analytically, and we give
an algorithm for its computation. Numerical result will be presented.
EPSRC Gregynog Workshop, 21-26 July 2002