A problem involving competing and intrinsic operators

2023/06/18 by Aldo H. S. Medeiros, Medeiros, Aldo H. S., Dumitru Motreanu +1
Computer Science · Mathematics · #35J92 47F10 35B45 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2306.10639

openalex publication_date 2023/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The main result establishes the existence of a solution in a generalized sense for a nonlinear Dirichlet problem driven by a competing operator and exhibiting a convection term composed with an intrinsic operator. A finite dimensional approximation is constructed. Applications regarding nonhomogeneous Dirichlet problems and equations with convolution are given by choosing an adequate intrinsic operator.

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