The Brezis–Nirenberg problem for fractional systems with Hardy potentials
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DOI: 10.1002/mma.7856
Abstract: In this work, we study the existence of positive solutions to the following fractional elliptic systems with Hardy‐type singular potentials and coupled by critical homogeneous nonlinearities (−Δ)su−μ1u|x|2s=|u|2s∗−2u+ηα2s∗|u|α−2|v|βu+12Qu(u,v)inΩ,(−Δ)sv−μ2v|x|2s=|v|2s∗−2v+ηβ2s∗|u|α|v|β−2v+12Qv(u,v)inΩ,u,v>0inΩ,u=v=0inℝN\Ω, where (− Δ)s denotes the fractional Laplace operator, Ω⊂ℝN… read more here.
Keywords: brezis nirenberg; systems hardy; problem fractional; fractional systems ... See more keywords