Browsing by Author Tobias, König
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The function a is assumed to be critical in the sense of Hebey and Vaugon. For low dimensions N∈(2s,4s)
, we prove that the Robin function ϕa satisfies infx∈Ωϕa(x)=0, which extends a result obtained by Druet for s=1
. In dimensions N∈(8s/3,4s), we then study the asymptotics of the fractional Brezis–Nirenberg energy S(a+εV)
for some V∈L∞(Ω) as ε→0+. We give a precise description of the blow-up profile of (almost) minimizing sequences and characterize the concentration speed and the location of concentration points. |
