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
Pages
20
From page
3613
To page
3632
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
Serial Year
2022
Record number
2714334
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