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SUMMARY:Symmetry Breaking for Ground States of Biharmonic Nonlinear Schrö
 dinger Equations
DTSTART:20211105T141500
DTEND:20211105T151500
DTSTAMP:20261002T174919Z
UID:bc79965714b23d42b588879132d8b09dacc32d55016b6d403c6f204b
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Tobias Weth (Goethe-Universität Frankfurt am Main\, Ger
 many)\nAbstract:\nWe consider ground states solutions\, suitably defined a
 s energy minimizers\, of a class of semilinear biharmonic (fourth-order) S
 chrödinger equations. By exploiting a connection to the adjoint Stein--To
 mas inequality on the unit sphere and by using trial functions due to Knap
 p\, we prove a symmetry breaking result for ground state solutions\, which
  is in striking contrast to the well-known results of radial symmetry for 
 ground states of classical second-order nonlinear Schrödinger equations. 
 We also discuss symmetry breaking for a minimization problem with constrai
 ned mass and for a related problem on the unit ball subject to Dirichlet b
 oundary conditions.\n\nThis is joint work with Enno Lenzmann (Universität
  Basel).
LOCATION:MA B1 11 https://plan.epfl.ch/?room==MA%20B1%2011 https://epfl.zo
 om.us/j/64207519823?pwd=SXRjWXE0WHZOaXZaY0w2cUt2ZWltUT09
STATUS:CONFIRMED
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