菊池 弘明

Pitchfork Bifurcation at Line Solitons for Nonlinear Schrödinger Equations on the Product Space $${\mathbb {R } }\times {\mathbb {T } }$$ 

Annales Henri Poincaré 25(7) 3467-3497 2023年9月29日  責任著者

Threshold solutions for the 3D focusing cubic-quintic nonlinear Schrödinger equation at low frequencies 

Dynamics of Partial Differential Equations 20(4) 263-297 2023年  査読有り

Non-existence of ground states and gap of variational values for 3D Sobolev critical nonlinear scalar field equations 

Journal of Differential Equations 334 25-86 2022年10月  査読有り

Global dynamics above the ground state energy for the combined power-type nonlinear Schrödinger equations with energy-critical growth at low frequencies 

Memoirs of the American Mathematical Society 272(1331) 2021年7月  査読有り

Non-uniqueness for an energy-critical heat equation on $${\mathbb {R } }^2$$ 

Mathematische Annalen 380(1-2) 317-348 2021年6月  査読有り

Transverse Stability of Line Soliton and Characterization of Ground State for Wave Guide Schrödinger Equations 

Journal of Dynamics and Differential Equations 33(3) 1297-1339 2021年1月21日  査読有り

Existence of a ground state and blowup problem for a class of nonlinear Schrödinger equations involving mass and energy critical exponents 

Nonlinear Differential Equations and Applications 27(6) 2020年12月1日  責任著者

Remarks on solitary waves and Cauchy problem for Half-wave-Schrödinger equations 

Communications in Contemporary Mathematics 23(05) 2050058-2050058 2020年9月11日  査読有り

Linear instability and nondegeneracy of ground state for combined power-type nonlinear scalar field equations with the Sobolev critical exponent and large frequency parameter 

Proceedings of the Royal Society of Edinburgh: Section A Mathematics 150(5) 2417-2441 2019年5月7日  査読有り

EXISTENCE AND UNIQUENESS OF SINGULAR SOLUTION TO STATIONARY SCHRoDINGER EQUATION WITH SUPERCRITICAL NONLINEARITY 

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 33(10) 4613-4626 2013年10月  査読有り

Existence of a ground state and scattering for a nonlinear Schrodinger equation with critical growth 

SELECTA MATHEMATICA-NEW SERIES 19(2) 545-609 2013年5月  査読有り

SCATTERING AND BLOWUP PROBLEMS FOR A CLASS OF NONLINEAR SCHRODINGER EQUATIONS 

DIFFERENTIAL AND INTEGRAL EQUATIONS 25(11-12) 1075-1118 2012年11月  査読有り

Stationary problem related to the nonlinear Schrodinger equation on the unit ball 

NONLINEARITY 25(8) 2271-2301 2012年8月  査読有り

EXISTENCE OF A GROUND STATE AND BLOW-UP PROBLEM FOR A NONLINEAR SCHRODINGER EQUATION WITH CRITICAL GROWTH 

DIFFERENTIAL AND INTEGRAL EQUATIONS 25(3-4) 383-402 2012年3月  査読有り

Existence and non-existence of solution for semilinear elliptic equation with harmonic potential and Sobolev critical/supercritical nonlinearities 

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 387(2) 746-754 2012年3月  査読有り

Orbital stability of semitrivial standing waves for the Klein-Gordon-Schrodinger system 

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 28(2) 315-323 2011年3月  査読有り