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)...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.展开更多
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.
文摘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.