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math.AP2026
Instability theory of stationary solutions for nonlinear Schrödinger equations
Noriyoshi Fukaya, Masayuki Hayashi
We study the orbital instability of algebraically decaying stationary solutions of nonlinear Schrödinger equations in dimensions , taking competing double-power nonlineariti…
math.AP2026
Standing waves for defocusing nonlinear Schrödinger equations with point interaction
Noriyoshi Fukaya, Yuki Osada, Mario Rastrelli
We consider standing waves of the nonlinear Schrödinger equation in the defocusing case in dimensions and . Here, denotes the…