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math.AP2025
Classification and qualitative properties of positive solutions to double-power nonlinear stationary Schrödinger equations
Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi +2
In this paper, we investigate positive radial solutions to double-power nonlinear stationary Schrodinger equations in three space dimensions. It is now known that the non-uniquenes…
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…
math.AP2013★ 2 cited
A new rearrangement inequality and its application for L^2-constraint minimizing problems
Masataka Shibata
We study -constraint minimizing problems related to elliptic systems. We introduce a new rearrangement to show -precompactness of any minimizing sequences. Some strict in…