BOUNDARY BLOW UP ELLIPTIC PROBLEMS WITH SIGN-CHANGING WEIGHTS: EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS

On Tuesday, 17th May, 2011

JORGE GARCIA-MELIAN
Universidad de La Laguna

will speak on

BOUNDARY BLOW UP ELLIPTIC PROBLEMS WITH SIGN-CHANGING WEIGHTS: EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS

at 2pm in MC206.

Abstract. We consider an elliptic boundary blow-up problem in a bounded smooth domain of R^N, and show that as a parameter in the equation varies, the solution set form a smooth curve in a suitable function space, and the curve has a turning point at a critical value of the parameter. The proofs are mainly based on continuation methods.