The infinity-Fucik spectrum

In this article we study the behavior as $p\nearrow +\mathrm{\infty }$ of the Fucik spectrum for $p$-Laplace operator with zero Dirichlet boundary conditions in a bounded domain $\mathrm{\Omega }\subset {\mathbb{R}}^n$. We characterize the limit equation, and we provide a description of the limit spectrum. Furthermore, we show some explicit computations of the spectrum for certain configurations of the domain.