4 papers
Positive solutions for fractional-order boundary value problems with or without dependence of integer-order ones
Inbo Sim, Satoshi Tanaka
We investigate the existence, non-existence, uniqueness, and multiplicity of positive solutions to the following problem: \begin{align}\label{P} \left\{ \begin{array}{l} D_{0+}^αu…
Morse index and symmetry-breaking bifurcation of positive solutions to the one-dimensional Liouville type equation with a step function weight
Kanako Manabe, Satoshi Tanaka
\begin{equation*} \left\{ \begin{array}{l} u'' + λh(x,α) e^u = 0, \quad x \in (-1,1), \\[1ex] u(-1) = u(1) = 0, \end{array} \right. \end{equation*} where , , $h(x,΅
Uniqueness and multiplicity of positive radial solutions to the super-critical Brezis-Nirenberg problem in an annulus
Naoki Shioji, Satoshi Tanaka, Kohtaro Watanabe
The super-critical Brezis-Nirenberg problem in an annulus is considered. The new uniqueness result of positive radial solutions is established for the three-dimensional case. It is…
Uniqueness and multiple existence of positive radial solutions of the Brezis-Nirenberg Problem on annular domains in
Naoki Shioji, Satoshi Tanaka, Kohtaro Watanabe
The uniqueness and multiple existence of positive radial solutions to the Brezis-Nirenberg problem on a domain in the 3-dimensional unit sphere \begin{equation*} \l…