Yasuhito Miyamoto

activity

20152026

most citedA limit equation and bifurcation diagrams of semilinear elliptic equations with general supercritical growth

36 citations · 79 across the 21 of their papers we have counts for

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Showing 2019Show all

3 papers · 1 filter

math.AP2019★ 4 cited

The Emden-Fowler equation on a spherical cap of $S^{N}$

Atsushi Kosaka, Yasuhito Miyamoto

Let $S^{N} \subset R^{N + 1}$ , $N \geq 3$ , be the unit sphere, and let $S_{Θ} \subset S^{N}$ be a geodesic ball with geodesic radius $Θ \in (0, π)$ . We study the bifurcat…

math.AP2019★ 36 cited

A limit equation and bifurcation diagrams of semilinear elliptic equations with general supercritical growth

Yasuhito Miyamoto

We study radial solutions of the semilinear elliptic equation $Δ u + f (u) = 0$ under rather general growth conditions on $f$ . We construct a radial singular solution and study the inter…

math.AP2019★ 9 cited

A doubly critical semilinear heat equation in the $L^{1}$ space

Yasuhito Miyamoto

We study the existence and nonexistence of a Cauchy problem of the semilinear heat equation $\partial_{t} u = Δ u + ∣ u ∣^{p - 1} u$ in $R^{N} \times (0, T)$ , $u (x, 0) = ϕ (x)$ in $\mathbb{R}^N…

The Emden-Fowler equation on a spherical cap of SN

A limit equation and bifurcation diagrams of semilinear elliptic equations with general supercritical growth

A doubly critical semilinear heat equation in the L1 space

The Emden-Fowler equation on a spherical cap of $S^{N}$

A doubly critical semilinear heat equation in the $L^{1}$ space