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

Jianxin He; Xinguang Zhang; Lishan Liu; Yonghong Wu

doi:10.15388/NA.2018.4.2

Articles

Jianxin He

Nanjing University of Posts and Telecommunications, China

Xinguang Zhang

Yantai University; Curtin University of Technology

Lishan Liu

Qufu Normal University; Curtin University of Technology

Yonghong Wu

Published 2018-08-10

https://doi.org/10.15388/NA.2018.4.2

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Keywords

k-Hessian equation
existence and nonexistence
multiplicity
radial solutions

How to Cite

He, J. (2018) “Existence and nonexistence of radial solutions of the Dirichlet problem for a class of general k-Hessian equations”, Nonlinear Analysis: Modelling and Control, 23(4), pp. 475–492. doi:10.15388/NA.2018.4.2.

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Abstract

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.

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