Existence of Entire Radial Solutions to Monge-Ampère Type Systems

This paper mainly studies the following Monge-Ampère type systems det1/n(ΔuI-D2u)=p(|x|)f(v), x∈Rn,det1/n(ΔvI-D2v)=q(|x|)g(u), x∈Rn. The existence of entire radial solutions is obtained by using monotone iteration method and Arzelà-Ascoli theorem. These results generalize the classical Keller-Osserman condition to fully nonlinear systems.

Publication Details

Journal
Springer Link (Chiba Institute of Technology)
Published
2025-11-04
DOI
https://doi.org/10.1051/wujns/2025305458/pdf
Primary Topic
Nonlinear Partial Differential Equations
Type
article
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article

Existence of Entire Radial Solutions to Monge-Ampère Type Systems

Springer Link (Chiba Institute of Technology)
Nonlinear Partial Differential Equations
article

Existence of Entire Radial Solutions to Monge-Ampère Type Systems

article en

Abstract

This paper mainly studies the following Monge-Ampère type systems det1/n(ΔuI-D2u)=p(|x|)f(v), x∈Rn,det1/n(ΔvI-D2v)=q(|x|)g(u), x∈Rn. The existence of entire radial solutions is obtained by using monotone iteration method and Arzelà-Ascoli theorem. These results generalize the classical Keller-Osserman condition to fully nonlinear systems.

Springer Link (Chiba Institute of Technology)
Openalex Percentile: Top 28%
Nonlinear Partial Differential Equations
DOISourceOpenAlex
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