Regularity of the extremal solutions in a Gelfand system problem

2010/08/21 by Craig Cowan, Cowan, Craig
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #math.AP

paper · pdf · doi:10.48550/arxiv.1008.3595

arxiv created 2010/08/21 · openalex publication_date 2010/08/21 · arxiv updated 2010/08/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We examine a Gelfand type system and show the extremal solutions are bounded provided we are close enough to the scalar case.

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