Special Session 54: Trends in Nonlinear Analysis

Multiplicity of critical orbits to nonlinear, strongly indefinite functionals with sign-changing nonlinear part
Bartosz Bieganowski
University of Warsaw
Poland
Co-Author(s):    
Abstract:
We will present an abstract critical point theory that allows to study the multiplicity of critical points of strongly indefinite functionals with sign-changing nonlinear part. We are going to apply it to nonlinear Schr\{o}dinger-type equations that appear e.g. in nonlinear optics. This is a joint work with Federico Bernini and Daniel Strzelecki.