Uniqueness and nondegeneracy of ground states for nonlinear Schrödinger equations with attractive inverse-power potential.

Autor:	Fukaya, Noriyoshi
Předmět:	NONLINEAR Schrodinger equation SCHRODINGER equation INVERSE problems UNIQUENESS (Mathematics) STANDING waves EQUATIONS of state
Zdroj:	Communications on Pure & Applied Analysis; Jan2021, Vol. 20 Issue 1, p121-143, 23p
Abstrakt:	We study uniqueness and nondegeneracy of ground states for stationary nonlinear Schrödinger equations with a focusing power-type nonlinearity and an attractive inverse-power potential. We refine the results of Shioji and Watanabe (2016) and apply it to prove the uniqueness and nondegeneracy of ground states for our equations. We also discuss the orbital instability of ground state-standing waves. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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