Existence and multiplicity of positive solutions for one-dimensional prescribed mean curvature equations
Existence and multiplicity of positive solutions for one-dimensional prescribed mean curvature equations
Abstract In this work, we establish the existence and multiplicity results of positive solutions for one-dimensional prescribed mean curvature equations. Our approach is based on fixed point index theory for completely continuous operators which leave invariant a suitable cone in a Banach space of continuous functions. MSC: 34B10, 34B18.