Nondegeneracy of ground states for nonlinear scalar field equations involving the Sobolev-critical exponent at high frequencies in three and four dimensions

Author:

Akahori TakafumiORCID,Murata Miho

Funder

Japan Society for the Promotion of Science

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference20 articles.

1. A note on the uniqueness and the non-degeneracy of positive radial solutions for semilinear elliptic problems and its application;Adachi;Acta Math. Sci. Ser. B (Engl. Ed.),2018

2. Uniqueness and nondegeneracy of ground states to nonlinear scalar field equations involving the Sobolev critical exponent in their nonlinearities for high frequencies;Akahori;Calc. Var. Partial Differential Equations,2019

3. Linear instability and nondegeneracy of ground state for combined power-type nonlinear scalar field equations with the Sobolev critical exponent and large frequency parameter;Akahori;Proc. Roy. Soc. Edinburgh Sect. A,2020

4. Global dynamics above the ground state energy for the combined power-type nonlinear Schrödinger equations with energy-critical growth at low frequencies;Akahori;Mem. Amer. Math. Soc.,2021

5. Non-existence of ground states and gap of variational values for 3D Sobolev critical nonlinear scalar field equations;Akahori;J. Differential Equations,2022

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