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Yasuhito Miyamoto

The University of Tokyo

7-3-1 Hongo

Bunkyo-ku

Tokyo, 113-0033

Japan

SCHOLARLY PAPERS

5

DOWNLOADS

186

TOTAL CITATIONS

2

Scholarly Papers (5)

1.

A Bifurcation Diagram of Solutions to Semilinear Elliptic Equations With General Supercritical Growth

Number of pages: 19 Posted: 25 Sep 2023
Yasuhito Miyamoto and Yuki Naito
The University of Tokyo and Hiroshima University
Downloads 68 (899,324)
Citation 2

Abstract:

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Bifurcation diagram, Joseph-Lundgren exponent, Uniqueness, Singular extremal solution, Super-exponential

2.

Exact Periods and Exact Critical Values for Hopf Bifurcations from Multi-Peak Solutions of the Shadow Gierer-Meinhardt Model in One Spatial Dimension

Number of pages: 27 Posted: 30 Jan 2024
Yasuhito Miyamoto, Hayato Nakamura and Keisuke Nishigaki
The University of Tokyo, affiliation not provided to SSRN and affiliation not provided to SSRN
Downloads 46 (1,109,210)

Abstract:

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Transversality condition, Exact eigenvalues, Explicit formula of periods, Jacobi's elliptic functions, Complex eigenvalues

3.

Symmetry Breaking Bifurcation and the Stability of Stationary Solutions of a Phase-Field Model

Number of pages: 34 Posted: 12 Nov 2024
The University of Tokyo, affiliation not provided to SSRN, Hokkaido University, University of Miyazaki and Ryukoku University
Downloads 45 (1,121,190)

Abstract:

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Eigenvalue problem with a nonlocal term, Direction of a bifurcating branch, Exchange of stability, Jacobi's elliptic integrals

4.

Symmetry breaking bifurcation and the stability of stationary solutions of a nonlocal Allen-Cahn equation

Number of pages: 39 Posted: 25 Oct 2025
Tatsuki Mori, Yasuhito Miyamoto, Tohru Tsujikawa and Shoji Yotsutani
affiliation not provided to SSRN, The University of Tokyo, University of Miyazaki and Ryukoku University
Downloads 22 (1,424,331)

Abstract:

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AMS Subject Classification: Primary: 34C23, 34B10, Secondary: 37G40

5.

Classification of the structures of stable radial solutions for semilinear  elliptic equations in R^N

Number of pages: 29 Posted: 26 Jan 2026
Yasuhito Miyamoto and Yuki Naito
The University of Tokyo and Hiroshima University
Downloads 5 (1,571,455)

Abstract:

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Semilinear elliptic equations, stability, Radial solutions, Critical exponents