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