On the elliptic problems involving multi-singular inverse square potentials and critical Sobolev exponent

Assume that Ω ⊂ R N ( N ≥ 3 ) is a smooth bounded domain, a i are different points in Ω , i = 1 , 2 , … , k , k ≥ 2 , λ > 0 , 2 ≤ q < 2 ∗ , μ < μ ̄ ≔ ( N − 2 2 ) 2 , 2 ∗ = 2 N N − 2 is the critical Sobolev exponent. We study the existence and asymptotic behavior of solutions to the multi-si...

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Veröffentlicht in:	Nonlinear analysis 2008-05, Vol.68 (10), p.3050-3066
1. Verfasser:	Kang, Dongsheng
Format:	Artikel
Sprache:	eng
Schlagworte:	Calculus of variations and optimal control Critical Sobolev exponent Exact sciences and technology Mathematical analysis Mathematics Multi-singular Partial differential equations Sciences and techniques of general use Semilinear elliptic problem Variational method
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