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

He, J.; Zhang, Xinguang; Liu, Lishan; Wu, Yong Hong

doi:10.15388/NA.2018.4.2

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Authors

He, J.

Zhang, Xinguang

Liu, Lishan

Wu, Yong Hong

Date

2018

Type

Journal Article

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Citation

He, J. and Zhang, X. and Liu, L. and Wu, Y.H. 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.

Source Title

Nonlinear Analysis: Modelling and Control

School

School of Electrical Engineering, Computing and Mathematical Science (EECMS)

URI

http://hdl.handle.net/20.500.11937/69450

Collection

Curtin Research Publications

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.