| Title | Uniqueness and nondegeneracy of the ground state for a quasilinear Schrödinger equation with a small parameter |
| Publication Type | Journal Article |
| Year of Publication | 2011 |
| Authors | Selvitella, A |
| Journal | Nonlinear Analysis: Theory, Methods & Applications |
| Volume | 74 |
| Pagination | 1731 - 1737 |
| ISSN | 0362-546X |
| Keywords | Bifurcation theory; Nonlinear Schrödinger equations; Stationary solutions |
| Abstract | We study least energy solutions of a quasilinear Schrödinger equation with a small parameter. We prove that the ground state is nondegenerate and unique up to translations and phase shifts using bifurcation theory. |
| URL | http://www.sciencedirect.com/science/article/pii/S0362546X10007613 |
| DOI | 10.1016/j.na.2010.10.045 |
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