Journal of Mathematical Analysis and Applications | 2021
A logistic type equation in RN with a nonlocal reaction term via bifurcation method
Abstract
Abstract We study the existence of positive solutions of a logistic equation in the entire space with a nonlocal reaction term. Mainly, we apply a bifurcation method and singular boundary equations to obtain a priori bounds of the solutions. Our results show a drastic change of behaviour of the set of positive solutions depending on the sign of the nonlocal term.