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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62953In 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.19 pagesFunctional AnalysisAnalysis of PDEs35J60; 35J65; 58E05On a nonlinear fourth order elliptic equation involving the Sobolev critical exponenttext