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SUMMARY:Isabella Ianni (Sapienza Università di Roma)
DTSTART:20210521T140000Z
DTEND:20210521T150000Z
DTSTAMP:20260423T041505Z
UID:RJWAPDE/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/RJWAPDE/25/"
 >Radial and non-radial solutions for the Lane-Emden problem in the disk</a
 >\nby Isabella Ianni (Sapienza Università di Roma) as part of Rio de Jane
 iro webinar on analysis and partial differential equations\n\n\nAbstract\n
 We discuss sharp asymptotic analysis results on radial solutions of the La
 ne-Emden problem in the disk\, which in particular lead to a Morse index f
 ormula. \nAs a consequence we can prove the existence of new unexpected so
 lutions. The talk is based on results mainly contained in [ADI]\, [IS]\, [
 GI] and [DIP].\n\n[ADI] A. Amadori\, F. De Marchis\, I. Ianni\, Morse inde
 x computation for radial solutions of the Henon problem in the disk\, prep
 rint\n\n[IS] I. Ianni\, A. Saldana\, Sharp asymptotic behavior of radial s
 olutions of some planar semilinear elliptic problems\, preprint\n\n[GI] I.
  Ianni\, F. Gladiali\, Quasi-radial solutions for the Lane-Emden problem i
 n the ball\, NoDEA 27 (2) (2020)\n\n[DIP] F. De Marchis\, I. Ianni\, F. Pa
 cella\, Exact Morse index computation for nodal radial solutions of Lane-E
 mden problems\, Mathematische Annalen 367 (2017)\n
LOCATION:https://researchseminars.org/talk/RJWAPDE/25/
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