De Marchis: Uniqueness and existence results via Morse index for Lane Emden problems
De Marchis: We consider the classical Lane Emden equation in bounded domains of the plane with Dirichlet boundary conditions and we present some results concerning the Morse index of solutions to this problem, when the exponent of the nonlinearity is large. Via these Morse index computations and a precise asymptotic analysis we can deduce a uniqueness result for positive solutions in convex domains and also some existence results of non-radial sign-changing solutions in the ball. Based on joint papers with M. Grossi, I. Ianni and F. Pacella. http://cvgmt.sns.it/seminar/644/
When
Tue May 29, 2018 12pm – 1pm Coordinated Universal Time
