Title of article :
Denumerably many positive radial solutions for the iterative system of Minkowski-Curvature equations
Author/Authors :
Mahammad, Khuddush Department of Mathematics - Dr. Lankapalli Bullayya College, Resapuvanipalem, Visakhapatnam, India , Prasad Kapula, Rajendra Department of Applied Mathematics - College of Science and Technology - Andhra University, Visakhapatnam, India , Botta, Bharathi Department of Applied Mathematics - College of Science and Technology - Andhra University, Visakhapatnam, India
Abstract :
This paper deals with the existence of denumerably many positive radial solutions to the iterative system of Dirichlet problems
div(∇zj1−|∇zj|2−−−−−−−−√)+gj(zj+1)=0 in Ω,
zj=0 on ∂Ω,
where j∈{1,2,⋅⋅⋅,n}, z1=zn+1, Ω is a unit ball in RN 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.
Keywords :
Positive radial solution , Minkowski-curvature equation , fixed point theorem , cone
Journal title :
International Journal of Nonlinear Analysis and Applications
