Special Session 56: Variational methods for nonlinear PDEs

Stationary Schrodinger type equations with nonlinearities sublinear at zero

Shibo Liu
Florida Institute of Technology
USA
Co-Author(s):    
Abstract:
We discuss the existence of infinitely many solutions for a class of quasilinear Schrodinger equations with concave and convex nonlinearities, where the convex nonlinearity may be supercritical. A semilinear Schrodinger equation with indefinite potential and nonlinearity sublinear at zero is also considered.