Nondegeneracy of Nonradial Sign-changing Solutions to the Nonlinear Schrödinger Equation
نویسندگان
چکیده
We prove that the non-radial sign-changing solutions to the nonlinear Schrödinger equation ∆u− u + |u|p−1u = 0 in R , u ∈ H(R ) constructed by Musso, Pacard, and Wei [19] are non-degenerate. This provides the first example of a non-degenerate sign-changing solution to the above nonlinear Schrödinger equation with finite energy.
منابع مشابه
Nondegeneracy of Nonradial Sign-changing Solutions to the Nonlinear Schrödinger Equations
We prove the non-degeneracy of the non-radial sign-changing solutions to the nonlinear Schrödinger equation ∆u− u+ |u|p−1u = 0 in R constructed by Musso, Pacard and Wei [19].
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