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Research Article | Open Access

Positive radial solutions for a p-Monge-Ampère problem

Keyu Zhang1, Houyu Zhao2( )
School of Mathematics, Qilu Normal University, Jinan 250013, China
School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China
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Abstract

In this paper, by virtue of fixed point theory, we investigate a p-Monge-Ampère problem and establish several existence results for positive radial solutions when the nonlinearity satisfies some ( p − 1 ) n-superlinear and ( p − 1 ) n-sublinear conditions.

Keywords

p-Monge-Ampère problemfixed point theorypositive radial solution

References

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Mathematical Modelling and Control
Volume 5 Issue 4,
December 2025
Pages 390-399
DOI: 10.3934/mmc.2025027

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Zhang K, Zhao H. Positive radial solutions for a p-Monge-Ampère problem. Mathematical Modelling and Control, 2025, 5(4): 390-399. https://doi.org/10.3934/mmc.2025027

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Received: 29 June 2024
Revised: 02 December 2024
Accepted: 07 February 2025
Published: 15 December 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)