Nodal Solutions of the Brezis-Nirenberg Problem in Dimension 6

作     者：Angela Pistoia Giusi Vaira 无 

作者机构：Dipartimento di Scienze di Base e Applicate per VlngegneriaSapienza Universita di RomaVia Scarpa 1600161 RomaItaly Dipartimento di MatematicaUniversita degli studi di Bari“Aldo Moro”via Edoardo Orabona 470125 BariItaly 

出 版 物：《Analysis in Theory and Applications》 (分析理论与应用（英文刊）)

年 卷 期：2022年第38卷第1期

页      面：1-25页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

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 

主　　题：Sign-changing solutions blow-up phenomenon Ljapunov-Schmidt reduction Transversality theorem 

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.