Sho Katayama

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20242026

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math.AP2025

Remarks on graph-like forward self-similar solutions to the surface diffusion flow equations

Yoshikazu Giga, Sho Katayama

We clarify existence and non-existence of graph-like forward self-similar solutions to the planar surface diffusion equations.

math.AP2025

Infinite multiplicity of positive solutions of an inhomogeneous supercritical elliptic equation on $R^{N}$

Sho Katayama, Yasuhito Miyamoto

We are concerned with positive radial solutions of the inhomogeneous elliptic equation $Δ u + K (∣ x ∣) u^{p} + μ f (∣ x ∣) = 0$ on $R^{N}$ , where $N \geq 3$ , $μ > 0$ and $K$ and $f$ are nonnega…

Remarks on graph-like forward self-similar solutions to the surface diffusion flow equations

Infinite multiplicity of positive solutions of an inhomogeneous supercritical elliptic equation on RN

Infinite multiplicity of positive solutions of an inhomogeneous supercritical elliptic equation on $R^{N}$