Positive radial solutions for Dirichlet problems via a Harnack‐type inequality

Abstract

We deal with the existence and localization of positive radial solutions for Dirichlet problems involving ‐Laplacian operators in a ball. In particular, ‐Laplacian and Minkowski‐curvature equations are considered. Our approach relies on fixed point index techniques, which work thanks to a Harnack‐type inequality in terms of a seminorm. As a consequence of the localization result, it is also derived the existence of several (even infinitely many) positive solutions.