Elliptic problems with nonlinear boundary conditions

Start: 10/20/2010 - 4:15pm
End  : 10/20/2010 - 5:15pm


Rosa Pardo Universidad Complutense de Madrid, Spain


In the last decade, a lot of attention has been payed to problems with nonlinear boundary conditions. It is a natural question to analyze the dynamics and bifurcations induced by the nonlinear boundary conditions, and compare its eff ects with the case of an interior reaction term, which has been more widely studied. We show a bifurcation from infi nity phenomena for sublinear nonlinearities, in the sense of Rabinowitz. It is also possible to characterize the stability of such solutions for a monotone nonlinearity. For an oscillatory nonlinearity, we guarantee when the bifurcated branch is neither subcritical nor supercritical, and has in finite turning points and infi nite resonant solutions. Observe that in this situation the Landesman-Lazer type conditions guaranteeing that the resonant problem has solution, do not hold.

Millikan 134, Pomona College

Misc. Information

Refreshments served at 3:45 p.m.
Harry Mullikin Room, Millikan 209
The dinner will be hosted by Professor Alfonso Castro
If you're interested in attending, email: castro@hmc.edu

Claremont Graduate University | Claremont McKenna | Harvey Mudd | Pitzer | Pomona | Scripps
Proudly Serving Math Community at the Claremont Colleges Since 2007
Copyright © 2018 Claremont Center for the Mathematical Sciences