Mathematical Physics and Harmonic Analysis Seminar

Date: April 13, 2018

Time: 1:50PM - 2:50PM

Location: BLOC 628

Speaker: Vitaly Moroz, University of Swansea

Title: Asymptotic properties of ground states of a semilinear elliptic problem with a vanishing parameter.

Abstract: We consider an elliptic problem with a double-well nonlinearity and a vanishing parameter. The behaviour of solutions depends sensitively on whether a power in the nonlinearity is less, equal or bigger than the critical Sobolev exponent. In the most delicate critical Sobolev regime the asymptotic behaviour of the solutions is given by a particular solution of the critical Emden-Fowler equation, whose choice depends on in a non-trivial way on the space dimension.

Joint work with Cyrill Muratov (NJIT).