Sign-changing solutions for the sinh-Poisson equation with Robin Boundary condition

Pablo Figueroa, Leonelo Iturriaga, Erwin Topp

Given $\epsilon \in (0,1)$ and $\lambda >1$, we address the existence of solutions for the Sinh-Poisson equation with Robin boundary value condition $$ \begin{cases} Δu+ε^2 (e^{u} - e^{-u})=0 &\…