Non-existence results for an eigenvalue problem involving Lipschitzian nonlinearities with non-positive primitive and applications.

Let $\Omega$ a bounded domain of $\mathbb{R}^D$. We discuss here
the uniqueness of classical solutions of equation $\Delta u= \sin u$ that
vanish on $\partial\Omega$. We give some applications to the global attractor
of sine-Gordon equations.