Existence and uniqueness for a quasilinear elliptic problem with nonlinear Robin conditions

2014/10/15 by Djamel Ait Akli, Akli, Djamel Ait
Computer Science · Engineering · Mathematics · #35j #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Stability and Controllability of Differential Equations #math.AP #msc:35j

paper · pdf · doi:10.48550/arxiv.1410.4042

This paper has been withdrawn by the author due to an error in theorem 1

openalex publication_date 2014/10/15 · arxiv created 2015/07/05 · arxiv updated 2015/07/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper deals with an existence and uniqueness result of the weak solution for a quasilinear elliptic PDE with nonlinear Robin boundary conditions.This problem is defined on a domain whose boundary is the union of two disjoint surfaces.where a Dirichelet condition is prescribed on the exterior boundary and a nonlinear Robin condition on the interior one.To achieve that, we use the theory of monotone operators

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