一类超线性 $k$-Hessian 方程耦合系统的径向解

Abstract

Abstract:

The existence of solutions to Dirichlet problems for a class of singular superlinear $k$-Hessian systems with parameters is studied. Based on the Krasonsel'skii type fixed point theorem in a Banach space, the existence, multiplicity and nonexistence results of nontrivial radial solutions are obtained. At the same time, the asymptotic behavior dependent on parameter is discussed.

Key words: Radial solution, Dirichlet problem, Coupled $k$-Hessian equations, Krasonsel'skii type fixed point theorem

CLC Number:

O175.8

Gao Chenghua, Ding Huanhuan, He Xingyue. Radial Solutions of Coupled Systems for a Class of Superlinear $ k$-Hessian Equations[J].Acta mathematica scientia,Series A, 2024, 44(2): 384-395.

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References 16

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Radial Solutions of Coupled Systems for a Class of Superlinear $ k$-Hessian Equations

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