Existence and multiplicity of positive solutions for one-dimensional prescribed mean curvature equations
Department of Mathematics, Northwest Normal University, Lanzhou, 730070, P.R. China
Boundary Value Problems 2014, 2014:120 doi:10.1186/1687-2770-2014-120
Dedicated to Professor Ivan T. Kiguradze for his merits in the theory of differential equationsPublished: 16 May 2014
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.