Multiple solutions for quasilinear elliptic systems involving variable exponents

2021/12/27 by Abdelkrim Moussaoui, Moussaoui, Abdelkrim, J Vélin +2
Chemistry · Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Applied mathematics #Chemistry #Combinatorics #Degree (music) #Differential Equations and Boundary Problems #FOS: Mathematics #Fractional Laplacian #Laplace operator #Mathematical analysis #Mathematics #Nonlinear Partial Differential Equations #Operator (biology) #Physics #Pure mathematics #Topology (electrical circuits) #Variable (mathematics) #math.AP #p-Laplacian

paper · pdf · doi:10.48550/arxiv.2112.13871

published in arXiv (Cornell University) (Cornell University)

arxiv created 2021/12/27 · openalex publication_date 2021/12/27 · arxiv updated 2021/12/30 · openalex created_date 2022/05/05 · openalex updated_date 2026/08/08

Abstract

We establish the existence of multiple solutions for a nonvariational elliptic systems involving p(x)-Laplacian operator. The approach combines the methods of sub-supersolution and Leray--Schauder topological degree.

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