On a nonlinear fourth order elliptic equation involving the Sobolev critical exponent

2001/12/21 by Francois Ebobisse, François Ebobisse, Ebobisse, Francois +2
Computer Science · Mathematics · #35J60 #35J65 #58E05 #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations #math.AP #math.FA #msc:35J60 #msc:35J65 #msc:58E05

paper · pdf · doi:10.48550/arxiv.math/0112240

19 pages

arxiv created 2001/12/21 · openalex publication_date 2001/12/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we use an algebraic topological argument due to Bahri and Coron to show how the topology of the domain influences the existence of positive solutions of some fourth order elliptic equation involving the critical Sobolev exponent.

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