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SUMMARY:Minimizing N-harmonic maps with partially constrained boundary con
 ditions of prescribed degree
DTSTART:20261103T130000Z
DTEND:20261103T140000Z
DTSTAMP:20261030T044300Z
UID:indico-event-17612@indico.math.cnrs.fr
DESCRIPTION:Speakers: Adriano Pisante (La Sapienza\, Rome)\n\n In this ta
 lk we will focus for N\\geq 2 on fractional W^(1-1/N\,N) maps from an (N
 −1)-dimensional sphere into itself as traces of maps with finite energi
 es modelled on the N-Dirichlet integral. We consider energy minimization a
 mong maps with trace of prescribed topological degree. Our goal is to pro
 ve existence and quantitative stability for minimizers in homotopy classes
 . Due to the lack of compact Sobolev embeddings and conformal invariance\,
  minimizing sequences may fail to converge strongly\, leading to a concent
 ration-compactness alternative and bubbling phenomena. When they occur\, 
 these concentration effects are investigated using PDEs tools like blow-u
 p analysis and measure-theoretic tools such as Cartesian currents. Finally
 \, we discuss genericity results under perturbations of the energy functio
 nal and we present some open problems. This is a joint ongoing work with X
 avier Lamy (Toulouse). \n\nhttps://indico.math.cnrs.fr/event/17612/
LOCATION:Fokko (ICJ)
URL:https://indico.math.cnrs.fr/event/17612/
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