Nodal Solutions of the Brezis-Nirenberg Problem in Dimension 6  

作　　者：Angela Pistoia Giusi Vaira 无 

机构地区：[1]Dipartimento di Scienze di Base e Applicate per Vlngegneria,Sapienza Universita di Roma,Via Scarpa 16,00161 Roma,Italy [2]Dipartimento di Matematica,Universita degli studi di Bari“Aldo Moro”,via Edoardo Orabona 4,70125 Bari,Italy

出　　处：《Analysis in Theory and Applications》2022年第1期1-25,共25页分析理论与应用（英文刊）

基　　金：Fondi di Ateneo"Sapienza"Universita di Roma(Italy).G.Vaira was partially supported by PRIN 2017JPCAPN003"Qualitative and quantitative aspects of nonlinear PDEs,r.

摘　　要：We show that the classical Brezis-Nirenberg problem-△μ=μ|μ|+λμinΩ,μ=0 on■Ω,when O is a bounded domain in R^(6)has a sign-changing solution which blows-up at a point in n asλapproaches a suitable valueλ_(0)>0.

关 键 词：Sign-changing solutions blow-up phenomenon Ljapunov-Schmidt reduction Transversality theorem 

分 类 号：O17[理学—数学]