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SUMMARY:Laurent Véron (Universite de tour\, France)
DTSTART:20201022T093000Z
DTEND:20201022T103000Z
DTSTAMP:20260423T005729Z
UID:WOPARA/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WOPARA/10/">
 Nonlinear boundary value problems in connexion with harmonic functions</a>
 \nby Laurent Véron (Universite de tour\, France) as part of Webinar on PD
 E and related areas\n\n\nAbstract\nWe study the problem of finding a funct
 ionuverifying−∆u= 0 inΩ under the boundary condition∂u∂n+g(u) =
 μon∂Ω where Ω⊂RNis a smoothdomain\,nis the normal unit outward ve
 ctor to Ω\,μis a measure on∂Ω andga continuous nondecreasing functi
 on.  We give sufficient condition ongfor thisproblem to be solvable for an
 y measure.  Wheng(r) =|r|p−1r\,p >1\, we giveconditions in order an isol
 ated singularity on∂Ω to be removable.  We also givecapacitary conditi
 ons on a measureμin order the problem withg(r) =|r|p−1rto be solvable f
 or someμ.  We also study the isolated singularities of functionssatisfyin
 g−∆u= 0inΩ and∂u∂n+g(u) = 0 on∂Ω\\{0}.\n
LOCATION:https://researchseminars.org/talk/WOPARA/10/
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