Uniqueness and nondegeneracy of the ground state for a quasilinear Schrödinger equation with a small parameter |
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Authors: | Alessandro Selvitella |
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Affiliation: | SISSA, via Bonomea, 265, 34136 Trieste, Italy |
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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. |
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Keywords: | Nonlinear Schrö dinger equations Stationary solutions Bifurcation theory |
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