Multiple radial solutions for Dirichlet problem involving two mean curvature equations in Euclidean and Minkowski spaces

Abstract

Abstract In this paper, we establish the existence of multiple positive radial solutions for the Dirichlet problem involving two mean curvature equations of spacelike graphs in Euclidean and Minkowski spaces.

Keywords

• Dirichlet problem
• Multiple radial solution
• Mean curvature equation
• Leggett–Williams’ fixed point theorem