This paper deals with the existence, multiplicity and the asymptotic behavior of nontrivial solutions for nonlinear problems driven by the fractional Laplace operator (-Δ)s and involving a critical Hardy potential. In particular, we consider where Ω ⊂ RN is a bounded domain, γ, λ and θ are real parameters, the function f is a subcritical nonlinearity, while g could be either a critical term or a perturbation.
Fiscella, A., Pucci, P. (2016). On certain nonlocal Hardy-Sobolev critical elliptic Dirichlet problems. ADVANCES IN DIFFERENTIAL EQUATIONS, 21(5-6), 571-599.
On certain nonlocal Hardy-Sobolev critical elliptic Dirichlet problems
Fiscella A
;
2016
Abstract
This paper deals with the existence, multiplicity and the asymptotic behavior of nontrivial solutions for nonlinear problems driven by the fractional Laplace operator (-Δ)s and involving a critical Hardy potential. In particular, we consider where Ω ⊂ RN is a bounded domain, γ, λ and θ are real parameters, the function f is a subcritical nonlinearity, while g could be either a critical term or a perturbation.
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