Denumerably many positive radial solutions for the iterative system of Minkowski-Curvature equations

Document Type : Research Paper

Authors

1 Department of Mathematics, Dr. Lankapalli Bullayya College, Resapuvanipalem, Visakhapatnam, 530013, India

2 Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam, 530003, India

$$div(\frac{\nabla z_j}{\sqrt{1-|\nabla z_j|^2}})+g_j(z_{j+1})=0\ in\ \Omega,$$
$$z_j=0\ on\ \partial\Omega,$$
where $j\in\{1, 2,\cdot\cdot\cdot,n\},$ $z_1=z_{n+1},$ $\Omega$ is a unit ball in $\mathbb{R}^N$ involving the mean curvature operator in Minkowski space by applying Krasnoselskii's fixed point theorem, Avery-Henderson fixed point theorem and a new (Ren-Ge-Ren) fixed point theorem in cones.