A Mountain-Pass Algorithm for Nonlocal Problems with Super-quadratic Nonlinearities

Loic Cappanera, Gabriela Jaramillo, Joshua M. Siktar

In this paper we consider a nonlinear equation $-\mathcal{L}u(x)=f(x,u(x))$ with a super-quadratic nonlinearity, $f$, and a nonlocal operator, $\mathcal{L}$, generated by a spe…