Positive solutions for a Minkowski-curvature equation with indefinite weight and super-exponential nonlinearity

Abstract

We investigate the existence of positive solutions for a class of Minkowski-curvature equations with indefinite weight and nonlinear term having superlinear growth at zero and super-exponential growth at infinity. As an example, for the equation [Formula: see text] where [Formula: see text] and [Formula: see text] is a sign-changing function satisfying the mean-value condition [Formula: see text], we prove the existence of a positive solution for both periodic and Neumann boundary conditions. The proof relies on a topological degree technique.