Existence of solution for a Liouville–Gelfand system on planar bounded domains

Periodica Mathematica Hungarica 2026 Open access

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Authors: Anderson L. A. de Araujo, Marcelo Montenegro
DOI: 10.1007/s10998-026-00700-5
Cited by: 0
References: 21

Abstract

Abstract We prove existence of solution for a Liouville–Gelfand system on planar bounded domains. We use a finite dimensional reduction together with a fixed point theorem.

Fields of Study & Subjects

Nonlinear Partial Differential Equations Nonlinear Differential Equations Analysis Advanced Differential Equations and Dynamical Systems

Publication details

Journal / source
Periodica Mathematica Hungarica
Volume
92
Issue
2
Pages
413–424
Publication date
6 February 2026
Language
EN