Existence and multiplicity of positive solutions for one-dimensional prescribed mean curvature equations

Boundary value problems

Ruyun Ma¹  Yanqiong Lu¹  Hongliang Gao¹ 

[1] Department of Mathematics, Northwest Normal University, Lanzhou, P.R. China

关键词: mean curvature equations;    positive solutions;    existence;    fixed point index;   

DOI  :  10.1186/1687-2770-2014-120

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY