Uniqueness and nondegeneracy of ground states to nonlinear scalar field equations involving the Sobolev critical exponent in their nonlinearities for high frequencies

Author:

Akahori Takafumi,Ibrahim Slim,Ikoma Norihisa,Kikuchi Hiroaki,Nawa Hayato

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference38 articles.

1. Akahori, T., Ibrahim, S., Kikuchi, H., Nawa, H.: Existence of a ground state and blow-up problem for a nonlinear Schrödinger equation with critical growth. Differ. Integral Equ. 25(3–4), 383–402 (2012)

2. Akahori, T., Ibrahim, S., Kikuchi, H., Nawa, H.: Global dynamics above the ground state energy for the combined power-type nonlinear Schrödinger equation with energy-critical growth at low frequencies, Mem. Amer. Math. Soc. (to appear)

3. Alves, C.O., Souto, M.A.S., Montenegro, M.: Existence of a ground state solution for a nonlinear scalar field equation with critical growth. Calc. Var. Partial Differ. Equ. 43(3–4), 537–554 (2012)

4. Progress in Mathematics;A Ambrosetti,2006

5. Berestycki, H., Lions, P.-L.: Nonlinear scalar field equations. I. Existence of a ground state. Arch. Ration. Mech. Anal. 82(4), 313–345 (1983)

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