The embedding theorem in limiting cases and its applications in singular perturbation
type: Item
instance of: scholarly article
title: The embedding theorem in limiting cases and its applications in singular perturbation
zbMATH Open document ID: 0632.35002
DOI: 10.1007/BF02007664
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 1987-01-01T00:00:00Z
review text: Der Autor untersucht Konvergenzprobleme für Aufgaben des Typs \[ - \epsilon \Delta^ 3u_{\epsilon}+u_{\epsilon}=f\text{ in } \Omega \subset {\mathbb{R}}^ n;\quad u_{\epsilon}=s\partial_{\epsilon}/\partial n=\partial^ 2u_{\epsilon}/\partial n^ 2=0\text{ auf } \partial \Omega \] und \[ -\epsilon \Delta^ 3u_{\epsilon}-\Delta u_{\epsilon}=f\text{ in } \Omega;\quad u_{\epsilon}=\partial u_{\epsilon}/\partial n=\partial^ 2u_{\epsilon}/\partial n^ 2=0\text{ auf } \partial \Omega. \]
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35J40
zbMATH DE Number: 4027965
zbMATH Keywords: embedding theorem
zbMATH Keywords: limiting case
author: Weitao Zhang
MaRDI profile type: Publication
cites work: Perturbations singulières dans les problèmes aux limites et en contrôle optimal
cites work: Q3739689
cites work: Q5549989
cites work: A note on limiting cases of sobolev embeddings and convolution inequalities
description: scientific article; zbMATH DE number 4027965