Nonlinear Schr\"odinger equations without compatibility conditions on the potentials

13 May 2015 Guida Michela Rolando Sergio

We study the existence of nonnegative solutions (and ground states) to the nonlinear Schr\"{o}dinger equation in $\mathbb{R}^N$ with radial potentials and super-linear or sub-linear nonlinearities. The potentials satisfy power type estimates at the origin and at infinity, but no compatibility condition is required on their growth (or decay) rates at zero and infinity... (read more)

PDF Abstract
No code implementations yet. Submit your code now