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SUMMARY:Minhyun Kim (Bielefeld University)
DTSTART:20210622T130000Z
DTEND:20210622T140000Z
DTSTAMP:20260404T001545Z
UID:NonLocalOperators/42
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NonLocalOper
 ators/42/">The concentration-compactness principle for the nonlocal anisot
 ropic $p$-Laplacian of mixed order</a>\nby Minhyun Kim (Bielefeld Universi
 ty) as part of Non-local operators\, probability and singularities\n\n\nAb
 stract\nIn this talk\, we introduce a new class of operators with an ortho
 tropic structure having different exponents of integrability and different
  orders of differentiability. We prove a robust Sobolev-type inequality an
 d establish the existence of minimizers of the Sobolev quotient. The metho
 d for the existence of minimizers is based on the concentration-compactnes
 s principle which we extend to this class of operators. One consequence of
  the main result is the existence of a nontrivial nonnegative solution to 
 the corresponding critical problem.\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/42/
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