Special Session 117: Advances on nonlinear elliptic PDEs
Multiplicity of solutions to stronglu indefinite problems with sign-changing nonlinearities
Bartosz Bieganowski
University of Warsaw Poland
Co-Author(s): Federico Bernini, Daniel Strzelecki
Abstract:
We will present an abstract critical point theory that allows to study the multiplicity of critical points of strongly indefinite functionals with sing-changing nonlinear part. We are going to apply it to nonlinear Schrodinger-type equations that appear e.g. in nonlinear optics.