Existence and nonexistence of radial solutions of the Dirichlet problem for a class of general k-Hessian equations

In this paper, we establish the existence and nonexistence of radial solutions of the Dirichlet problem for a class of general k-Hessian equations in a ball. Under some suitable local growth conditions for nonlinearity, several new results are obtained by using the fixed-point theorem.

Bibliographic Details
Main Authors: Jianxin He, Xinguang Zhang, Lishan Liu, Yonghong Wu
Format: Article
Language:English
Published: Vilnius University Press 2018-08-01
Series:Nonlinear Analysis
Subjects:
Online Access:http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13164