On the elliptic problems with critical weighted Sobolev–Hardy exponents

Let Ω ⊂ R N be a smooth bounded domain such that 0 ∈ Ω , N ≥ 3 . In this paper, we deal with the conditions that ensure the existence of nontrivial solutions for the elliptic equation − div ( | x | − 2 a ∇ u ) − μ u | x | 2 ( 1 + a ) = | u | p − 2 | x | b p u + λ u with Dirichlet boundary condition,...

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Veröffentlicht in:	Nonlinear analysis 2007-03, Vol.66 (5), p.1037-1050
1. Verfasser:	Kang, Dongsheng
Format:	Artikel
Sprache:	eng
Schlagworte:	Caffarelli–Kohn–Nirenberg inequality Elliptic equation Exact sciences and technology Mathematical analysis Mathematics Nontrivial solution Partial differential equations Sciences and techniques of general use Variational method
Online-Zugang:	Volltext
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