A stability result for nonlinear Neumann problems under boundary variations

2002/06/20 by Gianni Dal Maso, Maso, Gianni Dal, Francois Ebobisse +4
Computer Science · Engineering · Mathematics · #31A15 #35J65 #47H05 #49J45 #49Q10 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #math.AP #msc:31A15 #msc:35J65 #msc:47H05 #msc:49J45 #msc:49Q10

paper · pdf · doi:10.48550/arxiv.math/0206215

26 pages

arxiv created 2002/06/20 · openalex publication_date 2002/06/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study, in dimension two, the stability of the solutions of some nonlinear elliptic equations with Neumann boundary conditions, under perturbations of the domains in the Hausdorff complementary topology.

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