38 citations · 52 across the 7 of their papers we have counts for
7 papers
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…
Minimal volume product of three dimensional convex bodies invariant under certain groups of order four
Hiroshi Iriyeh, Masataka Shibata
We give the sharp lower bound of the volume product of three dimensional convex bodies which are invariant under two kinds of discrete subgroups of of order four. We also ch…
Minimal volume product of convex bodies with certain discrete symmetries and its applications
Hiroshi Iriyeh, Masataka Shibata
We give the sharp lower bound of the volume product of -dimensional convex bodies which are invariant under a discrete subgroup , where is a…
Minimal volume product of three dimensional convex bodies with various discrete symmetries
Hiroshi Iriyeh, Masataka Shibata
We give the sharp lower bound of the volume product of three dimensional convex bodies which are invariant under a discrete subgroup of in several cases. We also characteriz…
Symmetric Mahler's conjecture for the volume product in the three dimensional case
Hiroshi Iriyeh, Masataka Shibata
In this paper, we prove Mahler's conjecture concerning the volume product of centrally symmetric convex bodies in in the case where . Furthermore, we determine…
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…
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…