25 citations · 66 across the 12 of their papers we have counts for
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Linear instability and nondegeneracy of ground state for combined power-type nonlinear scalar field equations with the Sobolev critical exponent and large frequency parameter
Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi
We consider combined power-type nonlinear scalar field equations with the Sobolev critical exponent. In \cite{AIKN3}, it was shown that if the frequency parameter is sufficiently s…
Remarks on solitary waves and Cauchy problem for a Half-wave-Schrödinger equations
Yakine Bahri, Slim Ibrahim, Hiroaki Kikuchi
In this paper, we study the solitary wave and the Cauchy problem for Half-wave-Schrödinger equations in the plane. First, we show the existence and orbital stability of the ground…
Uniqueness and nondegeneracy of ground states to nonlinear scalar field equations involving the Sobolev critical exponent in their nonlinearities for high frequencies
Takafumi Akahori, Slim Ibrahim, Norihisa Ikoma +2
The study of the uniqueness and nondegeneracy of ground state solutions to semilinear elliptic equations is of great importance because of the resulting energy landscape and its im…