A borderline case in elliptic problems involving weights of Caffarelli–Kohn–Nirenberg type
Nonlinear Analysis: Theory, Methods & Applications(2007)
摘要
This work deals with problems {−div(|x|−2γ∇u)−(N−2(γ+1)2)2u|x|2(γ+1)=fλ(x,u),u>0in Ω,u=0on ∂Ω, with different kinds of nonlinear functions fλ(x,u), that will be specified in each statement. The main difficulties come from the presence of the constant (N−2(γ+1)2)2 which is the optimal one in the Hardy–Sobolev inequalities. This leads to a nontrivial adaptation of the functional framework.
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关键词
35J15,35J20,35J60,35J65,37H20
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