宮本 安人

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

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

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

Proceedings of the Royal Society of Edinburgh Section A: Mathematics 2023年  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

Radial single point rupture solutions for a general MEMS model 

Calculus of Variations and Partial Differential Equations 61(2) 2022年4月  査読有り

RADIAL REGULAR AND RUPTURE SOLUTIONS FOR A PDE PROBLEM WITH GRADIENT TERM AND TWO PARAMETERS 

Proceedings of the American Mathematical Society 150(4) 1697-1709 2022年  査読有り

The compactness of minimizing sequences for a nonlinear Schrödinger system with potentials 

Communications in Contemporary Mathematics 25(02) 2021年12月17日  査読有り

Polyharmonic inequalities with nonlocal terms 

Journal of Differential Equations 296 799-821 2021年9月25日  査読有り

A doubly critical semilinear heat equation in the L¹ space 

Journal of Evolution Equations 21(1) 151-166 2021年3月  査読有り

Stability for stationary solutions of a nonlocal Allen-Cahn equation 

Journal of Differential Equations 275 581-597 2021年2月25日  査読有り

Fractional semilinear heat equations with singular and nondecaying initial data 

Revista Matematica Complutense 35(2) 415-445 2021年  査読有り

Intersection properties for singular radial solutions of quasilinear elliptic equations with Hardy type potentials 

Complex Variables and Elliptic Equations 67(11) 2795-2808 2021年  査読有り