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Nonlinear Differential Equations AnalysisNonlinear Partial Differential EquationsStability and Controllability of Differential Equations

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

A. D. de Araujo, Marcelo Montenegro

2026.2.6Periodica Mathematica Hungarica

DOI: 10.1007/s10998-026-00700-5

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.

Citation format

ARAUJO, A. D. de; MONTENEGRO, Marcelo. Existence of solution for a liouville–gelfand system on planar bounded domains. Periodica Mathematica Hungarica, 2026, 92(2): 413–424.