@article{Bai2022, 
author = {Shuangshuang Bai and Xuemei Zhang and Meiqiang Feng},
title = {Entire positive  k-convex solutions to  k-Hessian type equations and systems},
year = {2022},
journal = {Electronic Research Archive},
volume = {30},
number = {2},
pages = {481-491},
keywords = {existence, monotone iterative, k-Hessian type equation and system, entire positive k-convex solution},
url = {https://www.sciopen.com/article/10.3934/era.2022025},
doi = {10.3934/era.2022025},
abstract = {In this paper, we study the existence of entire positive solutions for the  k-Hessian type equation   Sk(D2u+αI)=p(|x|)fk(u),x∈Rnand system   {Sk(D2u+αI)=p(|x|)fk(v),x∈Rn,Sk(D2v+αI)=q(|x|)gk(u),x∈Rn,where  D2u is the Hessian of  u and  I denotes unit matrix. The arguments are based upon a new monotone iteration scheme.}
}