Uniqueness of bounded solutions to $p$-Laplace problems in strips

We consider a $p$-Laplace problem in a strip with two-constant boundary Dirichlet conditions. We show that if the width of the strip is smaller than some $d_0\in (0,+\infty ]$, then the problem admits a unique bounded solution, which is strictly monotone. Hence this unique solution is one-dimensiona...

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Bibliographic Details
Main Author: Le, Phuong
Format: Article
Language:English
Published: Académie des sciences 2023-05-01
Series:Comptes Rendus. Mathématique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.442/