Shinji Adachi

most citedA note on the uniqueness and the non-degeneracy of positive radial solutions for semilinear elliptic problems and its application

11 citations · 11 across the 2 of their papers we have counts for

collaborators

2 papers

math.AP2022

Existence and asymptotic behavior of positive solutions for a class of locally superlinear Schrödinger equation

Shinji Adachi, Norihisa Ikoma, Tatsuya Watanabe

This paper treats the existence of positive solutions of $- Δ u + V (x) u = λ f (u)$ in $R^{N}$ . Here $N \geq 1$ , $λ > 0$ is a parameter and $f (u)$ satisfies conditions only in a…

math.AP2016★ 11 cited

A note on the uniqueness and the non-degeneracy of positive radial solutions for semilinear elliptic problems and its application

Shinji Adachi, Masataka Shibata, Tatsuya Watanabe

In this paper, we are concerned with the uniqueness and the non-degeneracy of positive radial solutions for a class of semilinear elliptic equations. Using detailed ODE analysis, w…