36 citations · 47 across the 12 of their papers we have counts for
16 papers · 1 filter
Monotonicity of the bifurcation curve for supercritical elliptic problems in the borderline dimension
Kenta Kumagai, Yasuhito Miyamoto
We study the global structure of bifurcation diagrams for semilinear elliptic Dirichlet problems with supercritical nonlinearities in the unit ball. In particular, we focus on the…
Classification of the structures of stable radial solutions for semilinear elliptic equations in
Yasuhito Miyamoto, Yūki Naito
We study the stability of radial solutions of the semilinear elliptic equation in , where and is a general superciritical nonlinearity. We gi…
Non-uniqueness of positive solutions for supercritical semilinear heat equations without scale invariance
Kotaro Hisa, Yasuhito Miyamoto
We establish nonuniqueness of solutions for Cauchy problems of semilinear heat equations with a wide class of nonlinearities. Specifically, we consider \[ \begin{cases} \partial_tu…
The Gierer-Meinhardt system in the entire space with non-local proliferation rates
Marius Ghergu, Nikos I. Kavallaris, Yasuhito Miyamoto
In this work, we present a novel stationary Gierer-Meinhardt system incorporating non-local proliferation rates, defined as follows: $$ \begin{cases} \displaystyle -Δu+λu=\frac{J*u…
Infinite multiplicity of positive solutions of an inhomogeneous supercritical elliptic equation on
Sho Katayama, Yasuhito Miyamoto
We are concerned with positive radial solutions of the inhomogeneous elliptic equation on , where , and and are nonnega…
Exact solutions describing very slow layer oscillations in a shadow reaction-diffusion system
Shin-Ichiro Ei, Yasuhito Miyamoto, Tatsuki Mori
We show in a rigorous way that a stable internal single-layer stationary solution is destabilized by the Hopf bifurcation as the time constant exceeds a certain critical value. Mor…