by Hans-Christoph Grunau, Guido Sweers.
Series: 2013-10, Preprints
It is known that the Dirichlet bilaplace boundary value problem, which is
used as a model for a clamped plate, is not sign preserving on general
domains. It is also known that the corresponding first eigenfunction may
change sign. In this note we will show that even a constant right hand side
may result in a sign-changing solution.
clamped plate equation, uniform load, sign changing solution