宮本 安人

The Lamé Equation on a Circle and Applications to Singular Limit Eigenvalue Problems 

Asymptotic Analysis 2025年11月25日  査読有り

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

Annali di Matematica Pura ed Applicata (1923 -) 2025年11月13日  査読有り

The Gierer-Meinhardt system in the entire space with non-local proliferation rates 

Journal of Differential Equations 444 113559-113559 2025年11月  査読有り

Symmetry breaking bifurcation and the stability of stationary solutions of a phase-field model 

Journal of Differential Equations 441 113500-113500 2025年10月  査読有り

Threshold property of a singular stationary solution for semilinear heat equations with exponential growth 

manuscripta mathematica 176(5) 2025年8月18日  査読有り

Linear‐Coupling Effects in the 1D Gross–Pitaevskii System: Exact Solutions and Eigenvalue Problems 

Mathematical Methods in the Applied Sciences 48(12) 12100-12110 2025年4月29日  査読有り

Exact solutions and classification of linearized eigenvalue problems for one-dimensional Gross–Pitaevskii system 

Journal of Mathematical Physics 66(1) 2025年1月1日  査読有り

Exact periods and exact critical values for Hopf bifurcations from multi-peak solutions of the shadow Gierer-Meinhardt model in one spatial dimension 

Journal of Differential Equations 413 34-69 2024年12月25日  査読有り

Asymptotic formula for the Morse index of radial solutions on expanding annuli: Allen-Cahn equation and scalar filed equation 

Calculus of Variations and Partial Differential Equations 64(1) 2024年11月20日  査読有り

The Gel’fand Problem on Expanding Tubular Domains in $$\mathbb {R}^2$$: Existence and the Morse Index of Solutions 

The Journal of Geometric Analysis 35(1) 2024年11月4日  査読有り

A bifurcation diagram of solutions to semilinear elliptic equations with general supercritical growth 

Journal of Differential Equations 406 318-337 2024年10月15日  査読有り

Solvability of the Cauchy problem for fractional semilinear parabolic equations in critical and doubly critical cases 

Journal of Evolution Equations 24(2) 2024年6月  査読有り

Stability and bifurcation diagram for a shadow Gierer–Meinhardt system in one spatial dimension 

Nonlinearity 37(5) 055011-055011 2024年4月2日  査読有り

Asymptotic formulas of the eigenvalues for the linearization of the scalar field equation 

Proceedings of the Royal Society of Edinburgh: Section A Mathematics 155(1) 307-344 2023年9月11日  査読有り

Exact Morse index of radial solutions for semilinear elliptic equations with critical exponent on annuli 

Mathematische Zeitschrift 304(4) 2023年7月24日  査読有り

Asymptotic formulas of the eigenvalues for the linearization of a one-dimensional sinh-Poisson equation 

Journal of Elliptic and Parabolic Equations 9(2) 1043-1070 2023年7月4日  査読有り

Singular solutions for semilinear elliptic equations with general supercritical growth 

Annali di Matematica Pura ed Applicata 202(1) 341-366 2023年2月  査読有り

Solvability for time‐fractional semilinear parabolic equations with singular initial data 

Mathematical Methods in the Applied Sciences 46(6) 6686-6704 2022年12月9日  査読有り