Nodal solutions for singular semilinear elliptic systems

2021/10/11 by Abdelkrim Moussaoui, Moussaoui, Abdelkrim · 2 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2110.05109

openalex publication_date 2021/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

n this paper, we prove existence of nodal solutions for singular semilinear elliptic systems without variational structure where its both components are of sign changing. Our approach is based on sub-supersolutions method combined with perturbation arguments involving singular terms.

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• Three solutions with precise sign properties for Gierer-Meinhardt type system
• Constant sign and nodal solutions for singular quasilinear elliptic systems

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