Concurrent Post

Faculty of Science and Engineering Graduate School of Fundamental Science and Engineering
Details of a Researcher
Updated on 2023/02/02
Faculty of Science and Engineering Graduate School of Fundamental Science and Engineering
Waseda Research Institute for Science and Engineering Concurrent Researcher
Waseda University Graduate School, Division of Science and Engineering Mathematics
Waseda University Graduate School, Division of Science and Engineering Mathematics
Waseda University Faculty of Science and Engineering Mathematics
Waseda University Doctor of Science
早稲田大学 理学修士
Waseda Univeristy Master of Science
Waseda University, Professor
Waseda University, Associate Professor
Nagoya University, Associate Professor
Nagoya University, Associate Professor
Nagoya University, Lecturer
Nagoya University, Research Assistant
Mathematical Society of Japan
Mathematical analysis
variational problems, Hamiltonian systems, nonlinear elliptic problems
A Note On Deformation Argument For L2 Normalized Solutions Of Nonlinear Schrödinger Equations And Systems
Norihisa Ikoma, Kazunaga Tanaka
Advances in Differential Equations 24 ( 1112 ) 609  646 2019.11
Remarks on the clark theorem
Guosheng Jiang, Kazunaga Tanaka, Chengxiang Zhang
Journal of Nonlinear and Convex Analysis 18 ( 8 ) 1421  1434 2017
Nonlinear elliptic equations in striplike domains dedicated to Professor Antonio Ambrosetti
Jaeyoung Byeon, Kazunaga Tanaka
Advanced Nonlinear Studies 12 ( 4 ) 749  765 2012
Nonlinear scalar field equations in ℝ^{N}: Mountain pass and symmetric mountain pass approaches
Jun Hirata, Norihisa Ikoma, Kazunaga Tanaka
Topological Methods in Nonlinear Analysis 35 ( 2 ) 253  276 2010
Multiple stable patterns for some reactiondiffusion equation in disrupted environments
T Ide, K Kurata, K Tanaka
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 14 ( 1 ) 93  116 2006.01
Multiclustered highenergy solutions for a phase transition problem
PL Felmer, S Martinez, K Tanaka
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION AMATHEMATICS 135 731  765 2005
Singularly perturbed elliptic problems with superlinear or asymptotically linear nonlinearities
L Jeanjean, K Tanaka
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 21 ( 3 ) 287  318 2004.11
A note on a mountain pass characterization of least energy solutions
L Jeanjean, K Tanaka
ADVANCED NONLINEAR STUDIES 3 ( 4 ) 445  455 2003.11 [Refereed]
Clustering layers and boundary layers in spatially inhomogeneous phase transition problems
K Nakashima, K Tanaka
ANNALES DE L INSTITUT HENRI POINCAREANALYSE NON LINEAIRE 20 ( 1 ) 107  143 2003 [Refereed]
A remark on least energy solutions in RN
L Jeanjean, K Tanaka
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 131 ( 8 ) 2399  2408 2003 [Refereed]
Existence of positive solutions for a class of nonhomogeneous elliptic equations in RN
S Adachi, K Tanaka
NONLINEAR ANALYSISTHEORY METHODS & APPLICATIONS 48 ( 5 ) 685  705 2002.02 [Refereed]
Multiple positive solutions for nonhomogeneous elliptic equations
S Adachi, K Tanaka
NONLINEAR ANALYSISTHEORY METHODS & APPLICATIONS 47 ( 6 ) 3783  3793 2001.08 [Refereed]
Multiple positive solutions for nonhomogeneous elliptic equations
S Adachi, K Tanaka
NONLINEAR ANALYSISTHEORY METHODS & APPLICATIONS 47 ( 6 ) 3783  3793 2001.08 [Refereed]
Four positive solutions for the semilinear elliptic equation: Delta mu+mu=alpha(chi)mu(p)+f(chi) in RN
S Adachi, K Tanaka
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 11 ( 1 ) 63  95 2000.08 [Refereed]
Scattering solutions for planar singular hamiltonian systems via minimization
P. Felmer, K. Tanaka
Adv. Diff. Eqn. 5 1519  1544 2000
Periodic solutions for singular Hamiltonian systems and closed geodesics on noncompact Riemannian manifolds,
K. Tanaka
Ann. Inst. H. Poincare Anal. Non Lineaire. 17 1  33 2000
Trudinger type inequalities in R^N and their best exponents
S. Adachi, K. Tanaka
Proc. Amer. Math. Soc. 128 2051  2057 2000
Scattering solutions for planar singular hamiltonian systems via minimization
P. Felmer, K. Tanaka
Adv. Diff. Eqn. 5 1519  1544 2000
Hyperboliclike solutions for singular Hamiltonian systems
P Felmer, K Tanaka
NODEANONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 7 ( 1 ) 43  65 2000 [Refereed]
Periodic solutions for singular Hamiltonian systems and closed geodesics on noncompact Riemannian manifolds
K Tanaka
ANNALES DE L INSTITUT HENRI POINCAREANALYSE NON LINEAIRE 17 ( 1 ) 1  33 2000.01 [Refereed]
Uniqueness of positive radial solutions of semilinear elliptic equations in RN and Sere's nondegeneracy condition
Y Kabeya, K Tanaka
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 24 ( 34 ) 563  598 1999 [Refereed]
Uniqueness of positive radial solutions of semilinear elliptic equations in RN and Sere's nondegeneracy condition
Y Kabeya, K Tanaka
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 24 ( 34 ) 563  598 1999 [Refereed]
On Keplerian Nbody type problems,
A. Ambrosetti, K. Tanaka
in Nonlinear Analysis and continuum mechanics: Paper for the 65thrbirthday of James Serrin (G. Buttazzo, G.P. Galdi, E. Lanconelli, P.rPucci ed.) Springer 15  25 1998
On Keplerian Nbody type problems,
A. Ambrosetti, K. Tanaka
in Nonlinear Analysis and continuum mechanics: Paper for the 65th birthday of James Serrin (G. Buttazzo, G.P. Galdi, E. Lanconelli, P.Pucci ed.) Springer 15  25 1998
Multiple Positive solutions for some nonlinear elliptic systems
K. Tanaka
Topological mathods in nonlinear Analysis 10 15  45 1997
Multiple Positive solutions for some nonlinear elliptic systems
K. Tanaka
Topological mathods in nonlinear Analysis 10 15  45 1997
Periodic solutions of first order singular Hamiltonian systems
K Tanaka
NONLINEAR ANALYSISTHEORY METHODS & APPLICATIONS 26 ( 4 ) 691  706 1996.02
Periodic solutions of first order singnlar Hamiltonian systems
K. Tanaka
Nonlinear Analysis,Theory,Methods & Applications 26 791  706 1996
A REMARK ON POSITIVE RADIAL SOLUTIONS OF THE ELLIPTIC EQUATION DELTAU+K(VERTICALBARXVERTICALBAR)U((N+2)/(N2))=0 IN R(N)
Y SASAHARA, K TANAKA
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 123 ( 2 ) 527  531 1995.02
A REMARK ON POSITIVE RADIAL SOLUTIONS OF THE ELLIPTIC EQUATION DELTAU+K(VERTICALBARXVERTICALBAR)U((N+2)/(N2))=0 IN R(N)
Y SASAHARA, K TANAKA
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 123 ( 2 ) 527  531 1995.02 [Refereed]
Homoclinic orbits on noncompact Riemannian manifolds for second order Hamiltonian systems
F. Gianonni, L. Jeanjean
Red.Sem.Mat.Univ.Padova 93 153  176 1995
Homoclinic orbits on noncompact Riemannian manifolds for second order Hamiltonian systems
F. Gianonni, L. Jeanjean
Red.Sem.Mat.Univ.Padova 93 153  176 1995
A NOTE ON GENERALIZED SOLUTIONS OF SINGULAR HAMILTONIANSYSTEMS
K TANAKA
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 122 ( 1 ) 275  284 1994.09 [Refereed]
A note on the existence of multiple homoclinic orbits for a perturbed radial potential
K. Tanaka
Nonlinear Differential Equations and Applications 1 149  162 1994
PERIODICSOLUTIONS WITH PRESCRIBED ENERGY FOR SOME KEPLERIAN NBODY PROBLEMS
A AMBROSETTI, K TANAKA, E VITILLARO
ANNALES DE L INSTITUT HENRI POINCAREANALYSE NON LINEAIRE 11 ( 6 ) 613  632 1994 [Refereed]
A PRESCRIBEDENERGY PROBLEM FOR A CONSERVATIVE SINGULAR HAMILTONIAN SYSTEM
K TANAKA
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 128 ( 2 ) 127  164 1994 [Refereed]
A note on the existence of multiple homoclinic orbits for a perturbed radial potential
K. Tanaka
Nonlinear Differential Equations and Applications 1 149  162 1994
PERIODICSOLUTIONS WITH PRESCRIBED ENERGY FOR SOME KEPLERIAN NBODY PROBLEMS
A AMBROSETTI, K TANAKA, E VITILLARO
ANNALES DE L INSTITUT HENRI POINCAREANALYSE NON LINEAIRE 11 ( 6 ) 613  632 1994 [Refereed]
A PRESCRIBED ENERGY PROBLEM FOR A SINGULAR HAMILTONIAN SYSTEM WITH A WEAK FORCE
K TANAKA
JOURNAL OF FUNCTIONAL ANALYSIS 113 ( 2 ) 351  390 1993.05 [Refereed]
NONCOLLISION SOLUTIONS FOR A 2NDORDER SINGULAR HAMILTONIAN SYSTEM WITH WEAK FORCE
K TANAKA
ANNALES DE L INSTITUT HENRI POINCAREANALYSE NON LINEAIRE 10 ( 2 ) 215  238 1993 [Refereed]
Noncollision solutions for a second order singular Hamiltonian system with weak force
K. Tanaka
Annales de Institut Henri Poincare : Analyse non lineaire 10 215  238 1993
A prescribed energy problem for a singular Hamiltonian system with a weak force
K. Tanaka
Journal of Functional Analysis 113 351  390 1993
MULTIPLE PERIODICSOLUTIONS OF A SUPERLINEAR FORCED WAVEEQUATION
K TANAKA
ANNALI DI MATEMATICA PURA ED APPLICATA 162 43  76 1992
HOMOCLINIC ORBITS IN A 1ST ORDER SUPERQUADRATIC HAMILTONIAN SYSTEM  CONVERGENCE OF SUBHARMONIC ORBITS
K TANAKA
JOURNAL OF DIFFERENTIAL EQUATIONS 94 ( 2 ) 315  339 1991.12 [Refereed]
SOME RESULTS ON CONNECTING ORBITS FOR A CLASS OF HAMILTONIANSYSTEMS
PH RABINOWITZ, K TANAKA
MATHEMATISCHE ZEITSCHRIFT 206 ( 3 ) 473  499 1991 [Refereed]
SOME RESULTS ON CONNECTING ORBITS FOR A CLASS OF HAMILTONIANSYSTEMS
PH RABINOWITZ, K TANAKA
MATHEMATISCHE ZEITSCHRIFT 206 ( 3 ) 473  499 1991
Existence of infinitely many solutions for some superlinear elliptic equations,
R. Kajikiya, K. Tanaka
Journal of Mathematical Analysis and Applications 共著 149 313  321 1990
HOMOCLINIC ORBITS FOR A SINGULAR 2NDORDER HAMILTONIAN SYSTEM
K TANAKA
ANNALES DE L INSTITUT HENRI POINCAREANALYSE NON LINEAIRE 7 ( 5 ) 427  438 1990
Existence of infinitely many solutions for some superlinear elliptic equations,
R. Kajikiya, K. Tanaka
Journal of Mathematical Analysis and Applications 共著 149 313  321 1990
Homoclinic orbits for a singular second order hamiltonian system
K. Tanaka
Annales de i'institut henri Poincare Analyse non Iineaire 7 427  438 1990
MORSE INDEXES AT CRITICALPOINTS RELATED TO THE SYMMETRIC MOUNTAIN PASS THEOREM AND APPLICATIONS
K TANAKA
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 14 ( 1 ) 99  128 1989 [Refereed]
Morse indices at critical points related to the symmetric mountain pass theorem and applications
K. Tanaka
Communications in partial differential equations 14 99  128 1989
INFINITELY MANY PERIODICSOLUTIONS FOR THE EQUATION .2. UTTUXX+//U/P1U=F(X,T)
K TANAKA
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 307 ( 2 ) 615  645 1988.06 [Refereed]
Infinitely many periodic solutions for the equation u_{tt}u_{xx} ± u^{P1}=f(x, t), II
K. Tanaka
Transaction of the American Mathematical Society 307 615  645 1988
INFINETELY MANY PERIODICSOLUTIONS FOR A SUPERLINEAR FORCED WAVEEQUATION
K TANAKA
NONLINEAR ANALYSISTHEORY METHODS & APPLICATIONS 11 ( 1 ) 85  104 1987.01 [Refereed]
DENSITY OF THE RANGE OF A WAVE OPERATOR WITH NONMONOTONE SUPERLINEAR NONLINEARITY
K TANAKA
PROCEEDINGS OF THE JAPAN ACADEMY SERIES AMATHEMATICAL SCIENCES 62 ( 4 ) 129  132 1986.04 [Refereed]
Density of the range of a wave operator with nonmenotone superlinear nonlinearity
K. Tanaka
Proceedings of the Japan Academy 62A 129  132 1986
Forced vibrations for a superlinear vibrating string equation
K. Tanaka
in Recent topics in nonlinear PDE, III (Tokyo 1986), NorthHolland 247  266 1986
Infinitely many periodic solutions for the equation : u_{tt}u_{xx} ±u^{S1}u=f(x, t)
K. Tanaka
Communications in partial differential equations 10 1317  1345 1985
On the range of wave operators
K. Tanaka
Tokyo Journal of Mathematics 8 377  387 1985
INFINITELY MANY PERIODICSOLUTIONS FOR THE EQUATION  UTTUXX+/LULS1U=F(X,T)
K TANAKA
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 10 ( 11 ) 1317  1345 1985 [Refereed]
On the number of positive solutions of singularly perturbed 1D NLS
P. Felmer, S. Martinez, K. Tanaka
J. Eur. Math. Soc. to appear
High frequency chaotic solutions for a slowly varying dynamical system
P. Felmer, S. Martinez, K. Tanaka
Ergodic Theory Dynamical Systems to appear
High frequency solutions for singularly perturbed 1D nonlinear Schrodinger equation
P. Felmer, S. Martinez, K. Tanaka
Arch. Rat. Mech. Anal to appear
On the number of positive solutions of singularly perturbed 1D NLS
P. Felmer, S. Martinez, K. Tanaka
J. Eur. Math. Soc. 出版予定
High frequency chaotic solutions for a slowly varying dynamical system
P. Felmer, S. Martinez, K. Tanaka
Ergodic Theory Dynamical Systems 出版予定
High frequency solutions for singularly perturbed 1D nonlinear Schrodinger equation
P. Felmer, S. Martinez, K. Tanaka
Arch. Rat. Mech. Anal 出版予定
変分問題入門 : 非線形楕円型方程式とハミルトン系
田中, 和永
岩波書店 2018.06 ISBN: 9784007307706
Nonlinear Problems 2 (in Japanese)
K. Tanaka
Iwanami 2000
非線形問題 2
田中和永
岩波書店 2000
古典場の理論における微分型相互作用の数学解析
Project Year :
Research on Dispersive Equations and Harmonic Analysis
Project Year :
変分的手法による非局所非線形楕円型方程式の研究
Project Year :
Study on null forms in global spacetime in the framework of equalities
Project Year :
Mathematical Analysis of Critical Interactions in Classical Fields
Project Year :
Analysis of the nonlinear elliptic eigenvalue problems and inverse problems
Project Year :
Research of NavierStokes equations in undounded domains by real analysis and the energy method
Project Year :
Variational study of nonlinear elliptic problems
Project Year :
Study on variational problems, optimization problems and nonlinear partial differential equations
Project Year :
Study on oscillation and singularity in mass resonance
Project Year :
Study on reactiondiffusion equations and related free boundary problems
Project Year :
Studies on a unified point of view on global theories of nonlinear elliptic equations
Project Year :
Study on asymmetry and anisotropy in blowup theory for nonlinear parabolic equations
Project Year :
Study of structures of solutions to variational problems, optimization problems and nonlinear partial differential equations
Project Year :
Asymptotic analysis and inverse problems of the nonlinear elliptic eigenvalue problems
Project Year :
Study on the NavierStokes equations on unbounded domains by way of real analysis
Project Year :
Research on the structure of solutions for nonlinear systems of reactiondiffusion equations
Project Year :
Project Year :
Research of applied analysis toward the global theory for nonlinear systems
Project Year :
Integrated Study for Nonlinear Evolution Equations and Nonlinear Elliptic Equations
Project Year :
Research of System of Nonlinear Diffusion Equations and Related Elliptic Differential Equations
Project Year :
Research of the NavierStokes exterior problem by using dual semigmups and the Lorentz spaces
Project Year :
Project Year :
Real analytic approach to the stability theory of nonlinear evolution equations
Project Year :
Study of Solutions to Partial Differential Equations, Variational Problems and Inverse Problems
Project Year :
Analysis of nonlinear diffusion equations and related phase transition problems
Project Year :
Research on the nonlinear elliptic eigenvalue problems by variational methods
Project Year :
Study of Solutions to Partial Differential Equations, Variational problems and Inverse. Problems
Project Year :
Study of Harmonic Analysis, Solutions to Variational Problems and Partial Differential Equa
Project Year :
Boundary conditions for gavge coupled Dirac operators and their invariants.
Project Year :
Various problems in Hamiltonian dynamical systems and related topics in geometry and analysis
Project Year :
MATHEMATICAL ANALYSIS AND NUMERICAL ANALYSIS OF SEVERAL KINDS OF DIFFERENTIAL EQUATIONS.
Project Year :
非線形放物型方程式のアトラクターの研究
New development of the qualitative theory of nonlinear parabolic and elliptic equations
2016 平田 潤
2003
2001
変分的手法による非線型問題の研究
フランス コンテ大学
チリ チリ大学
Seminar in Applied Mathematics B [S Grade]
School of Fundamental Science and Engineering
2022 fall semester
Seminar in Applied Mathematics A [S Grade]
School of Fundamental Science and Engineering
2022 spring semester
Seminar in Mathematics A [S Grade]
School of Fundamental Science and Engineering
2022 spring semester
Research Project Spring [S Grade]
School of Fundamental Science and Engineering
2022 spring semester
Seminar on Variational Problems D
Graduate School of Fundamental Science and Engineering
2022 fall semester
Seminar on Variational Problems C
Graduate School of Fundamental Science and Engineering
2022 spring semester
Seminar on Variational Problems B
Graduate School of Fundamental Science and Engineering
2022 fall semester
Seminar on Variational Problems A
Graduate School of Fundamental Science and Engineering
2022 spring semester
Research on Nonlinear Analysis
Graduate School of Fundamental Science and Engineering
2022 full year
Master's Thesis (Department of Pure and Applied Mathematics)
Graduate School of Fundamental Science and Engineering
2022 full year
Seminar on Variational Problems D
Graduate School of Fundamental Science and Engineering
2022 fall semester
Seminar on Variational Problems C
Graduate School of Fundamental Science and Engineering
2022 spring semester
Seminar on Variational Problems B
Graduate School of Fundamental Science and Engineering
2022 fall semester
Seminar on Variational Problems A
Graduate School of Fundamental Science and Engineering
2022 spring semester
Research on Nonlinear Analysis
Graduate School of Fundamental Science and Engineering
2022 full year
Master's Thesis (Department of Pure and Applied Mathematics)
Graduate School of Fundamental Science and Engineering
2022 full year
Research on Nonlinear Analysis
Graduate School of Fundamental Science and Engineering
2022 full year
Citation count denotes the number of citations in papers published for a particular year.