Infinitely Many Solutions for a Nonlinear Schor\＂odinger Equation with General Nonlinearity
- Infinitely Many Solutions for a Nonlinear Schor\＂odinger Equation with General Nonlinearity
- 2018-05-10 16:10-16:55
- Yohei Sato
Associate Professor of Saitama University
We consider about the existence of infinitely many solutions for-\Delta u + V(x) u = f(u) in R^N, u \in H^1(\R^N).
Here, when |x| goes to infinity, V(x) approaches to a positive constantand V(x) satisfies some conditions.
We require conditions on f (u) only around 0 and at infinity.
This is a joint work with Masataka Sibata (Tokyo Institute of Technology).