Abstract
We show the existence of ground state and orbital stability of standing waves of nonlinear Schrödinger equations with singular linear potential and essentially mass-subcritical power type nonlinearity. For this purpose we establish the existence of ground state in H1. We do not assume symmetry or monotonicity. We also consider local and global well-posedness of Strichartz solutions of energy-subcritical equations. We improve the range of inhomogeneous coefficient in [5, 12] slightly in 3 dimensions.
| Original language | English |
|---|---|
| Pages (from-to) | 1601-1615 |
| Number of pages | 15 |
| Journal | Bulletin of the Korean Mathematical Society |
| Volume | 56 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2019 |
Keywords
- Ground state
- Inhomogeneous NLS
- Orbital stability
- Singular potential
- Strichartz solution
- Well-posedness
Quacquarelli Symonds(QS) Subject Topics
- Mathematics
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