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Solvability Criterion for a System Arising from Monge-Amp`ere Equations with Two Parameters
Version 1
: Received: 31 January 2024 / Approved: 31 January 2024 / Online: 31 January 2024 (11:05:28 CET)
A peer-reviewed article of this Preprint also exists.
Wang, L.; Li, H. Solvability Criterion for a System Arising from Monge–Ampère Equations with Two Parameters. Axioms 2024, 13, 175. Wang, L.; Li, H. Solvability Criterion for a System Arising from Monge–Ampère Equations with Two Parameters. Axioms 2024, 13, 175.
Abstract
Monge-Ampere equations have important research significance in many fields such as geometry, convex geometry and mathematical physics. In this paper, under some superlinear and sublinear conditions, the existence of nontrivial solutions for a system arising from Monge-Ampere equations with two parameters is investigated based on Guo-Krasnosel'skii fixed point theorem. In the end, two examples are given to illustrate our main results.
Keywords
fixed point theorem; Monge-Ampere equations; boundary value problem
Subject
Computer Science and Mathematics, Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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