Abstract
We consider here solutions of the nonlinear fractional Schrödinger equation We show that concentration points must be critical points for V. We also prove that if the potential V is coercive and has a unique global minimum, then ground states concentrate suitably at such a minimal point as ε tends to zero. In addition, if the potential V is radial and radially decreasing, then the minimizer is unique provided ε is small.
Original language | English |
---|---|
Pages (from-to) | 1937-1961 |
Number of pages | 25 |
Journal | Nonlinearity |
Volume | 28 |
Issue number | 6 |
DOIs | |
Publication status | Published - 1 Jun 2015 |
Externally published | Yes |