Elliptic problems with nonlinear boundary conditions

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

Category
Colloquium

Speaker
Rosa Pardo Universidad Complutense de Madrid, Spain

Abstract

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.

Where
Millikan 134, Pomona College

Misc. Information

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