Tanaka, Kazunaga

Compute Distance To:
 Author ID: tanaka.kazunaga Published as: Tanaka, Kazunaga; Tanaka, K.
 Documents Indexed: 83 Publications since 1985, including 1 Book 4 Contributions as Editor Co-Authors: 38 Co-Authors with 59 Joint Publications 829 Co-Co-Authors
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Co-Authors

 27 single-authored 11 Jeanjean, Louis 10 Felmer, Patricio L. 9 Cingolani, Silvia 7 Martínez, Salomé 6 Adachi, Shinji 4 Byeon, Jaeyoung 4 Gallo, Marco 4 Ikoma, Norihisa 3 Zhang, Chengxiang 2 Arcoya, David 2 De Coster, Colette 2 Hirata, Jun 2 Kozono, Hideo 2 Ogawa, Takayoshi 2 Tsutsumi, Yoshio 2 Yanagida, Eiji 1 Ambrosetti, Antonio 1 Carminati, Carlo 1 Chen, Chaonien 1 de Laire, André 1 Del Pino, Manuel A. 1 Ding, Yanheng 1 Giannoni, Fabio 1 Hayashi, Nakao 1 Ide, Takanori 1 Jiang, Guosheng 1 Kabeya, Yoshitsugu 1 Kajikiya, Ryuji 1 Kurata, Kazuhiro 1 Mischaikow, Konstantin 1 Nakashima, Kimie 1 Ozawa, Tohru 1 Rabinowitz, Paul Henry 1 Sasahara, Yasuhiro 1 Sato, Yohei 1 Séré, Eric 1 Terui, Masahito 1 Vitillaro, Enzo 1 Yamaji, Satoshi
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Serials

 7 Calculus of Variations and Partial Differential Equations 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Nonlinearity 5 RIMS Kokyuroku 4 Journal of Differential Equations 4 Proceedings of the American Mathematical Society 4 Communications in Partial Differential Equations 3 Proceedings of the Japan Academy. Series A 3 NoDEA. Nonlinear Differential Equations and Applications 3 Nonlinear Analysis. Theory, Methods & Applications 2 Archive for Rational Mechanics and Analysis 2 Journal of Mathematical Analysis and Applications 2 Journal of Functional Analysis 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Transactions of the American Mathematical Society 2 Topological Methods in Nonlinear Analysis 2 Advances in Differential Equations 2 Journal of the European Mathematical Society (JEMS) 2 Advanced Nonlinear Studies 2 Advanced Studies in Pure Mathematics 1 Analysis Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Indiana University Mathematics Journal 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Rendiconti del Seminario Matematico della Università di Padova 1 Tokyo Journal of Mathematics 1 Ergodic Theory and Dynamical Systems 1 Revista Matemática Iberoamericana 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Journal of Nonlinear and Convex Analysis 1 Analysis in Theory and Applications 1 Journal of Fixed Point Theory and Applications 1 Mathematics in Engineering
all top 5

Fields

 59 Partial differential equations (35-XX) 25 Global analysis, analysis on manifolds (58-XX) 22 Ordinary differential equations (34-XX) 18 Dynamical systems and ergodic theory (37-XX) 8 Operator theory (47-XX) 6 Mechanics of particles and systems (70-XX) 4 General and overarching topics; collections (00-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX)

Citations contained in zbMATH Open

72 Publications have been cited 1,785 times in 1,345 Documents Cited by Year
Trudinger type inequalities in $$\mathbb{R}^N$$ and their best exponents. Zbl 0980.46020
2000
Some results on connecting orbits for a class of Hamiltonian systems. Zbl 0707.58022
Rabinowitz, Paul H.; Tanaka, Kazunaga
1991
A remark on least energy solutions in $$\mathbb R^N$$. Zbl 1094.35049
Jeanjean, Louis; Tanaka, Kazunaga
2003
Singularly perturbed elliptic problems with superlinear or asymptotically linear nonlinearities. Zbl 1060.35012
Jeanjean, Louis; Tanaka, Kazunaga
2004
A positive solution for a nonlinear Schrödinger equation on $$\mathbb R^N$$. Zbl 1143.35321
Jeanjean, Louis; Tanaka, Kazunaga
2005
Nonlinear scalar field equations in $$\mathbb{R}^N$$: Mountain pass and symmetric mountain pass approaches. Zbl 1203.35106
Hirata, Jun; Ikoma, Norihisa; Tanaka, Kazunaga
2010
A positive solution for an asymptotically linear elliptic problem on $$\mathbb R^{N}$$ autonomous at infinity. Zbl 1225.35088
Jeanjean, Louis; Tanaka, Kazunaga
2002
Homoclinic orbits in a first order superquadratic Hamiltonian system: Convergence of subharmonic orbits. Zbl 0787.34041
Tanaka, Kazunaga; Mischaikow, Konstantin
1991
Multiplicity of positive solutions of a nonlinear Schrödinger equation. Zbl 1038.35114
Ding, Yanheng; Tanaka, Kazunaga
2003
Morse indices at critical points related to the symmetric mountain pass theorem and applications. Zbl 0669.34035
Tanaka, Kazunaga
1989
Four positive solutions for the semilinear elliptic equation: $$-\Delta u+u=a(x) u^p +f(x)$$ in $$\mathbb{R}^N$$. Zbl 0987.35039
2000
A local mountain pass type result for a system of nonlinear Schrödinger equations. Zbl 1215.35061
Ikoma, Norihisa; Tanaka, Kazunaga
2011
Uniqueness of positive radial solutions of semilinear elliptic equations in $$\mathbb{R}^N$$ and Séré’s non-degeneracy condition. Zbl 0930.35064
Kabeya, Yoshitsugu; Tanaka, Kazunaga
1999
On a system of nonlinear Schrödinger equations with quadratic interaction. Zbl 1291.35347
Hayashi, Nakao; Ozawa, Tohru; Tanaka, Kazunaga
2013
Semi-classical standing waves for nonlinear Schrödinger equations at structurally stable critical points of the potential. Zbl 1294.35131
Byeon, Jaeyoung; Tanaka, Kazunaga
2013
Clustering layers and boundary layers in spatially inhomogeneous phase transition problems. (Couches limites dans des problèmes de transition de phase spatialement inhomogènes.) Zbl 1114.35005
Nakashima, Kimie; Tanaka, Kazunaga
2003
Continuum of solutions for an elliptic problem with critical growth in the gradient. Zbl 1322.35025
Arcoya, David; De Coster, Colette; Jeanjean, Louis; Tanaka, Kazunaga
2015
Homoclinic orbits for a singular second order Hamiltonian system. Zbl 0712.58026
Tanaka, Kazunaga
1990
Standing waves for nonlinear Schrödinger equations with a general nonlinearity: one and two dimensional cases. Zbl 1155.35344
Byeon, Jaeyoung; Jeanjean, Louis; Tanaka, Kazunaga
2008
A prescribed energy problem for a singular Hamiltonian system with a weak force. Zbl 0771.70014
Tanaka, Kazunaga
1993
Remarks on the uniqueness for quasilinear elliptic equations with quadratic growth conditions. Zbl 1296.35068
Arcoya, David; De Coster, Colette; Jeanjean, Louis; Tanaka, Kazunaga
2014
Uniqueness of radially symmetric positive solutions for $$- \Delta u+u=u^p$$ in an annulus. Zbl 1159.34016
Felmer, Patricio; Martínez, Salomé; Tanaka, Kazunaga
2008
Sign-changing multi-bump solutions for nonlinear Schrödinger equations with steep potential wells. Zbl 1198.35261
Sato, Yohei; Tanaka, Kazunaga
2009
A note on a mountain pass characterization of least energy solutions. Zbl 1095.35006
Jeanjean, Louis; Tanaka, Kazunaga
2003
Semiclassical standing waves with clustering peaks, for nonlinear Schrödinger equations. Zbl 1303.35094
Byeon, Jaeyoung; Tanaka, Kazunaga
2014
Non-collision solutions for a second order singular Hamiltonian system with weak force. Zbl 0781.58036
Tanaka, Kazunaga
1993
Multi-bump solutions for logarithmic Schrödinger equations. Zbl 1383.35217
Tanaka, Kazunaga; Zhang, Chengxiang
2017
Existence of positive solutions for a class of nonhomogeneous elliptic equations in $${\mathbb R}^N$$. Zbl 1030.35048
2002
A note on deformation argument for $$L^2$$ normalized solutions of nonlinear Schrödinger equations and systems. Zbl 1437.35188
Ikoma, Norihisa; Tanaka, Kazunaga
2019
A variational approach for standing waves of Fitzhugh-Nagumo type systems. Zbl 1292.35117
Chen, Chao-Nien; Tanaka, Kazunaga
2014
A note on generalized solutions of singular Hamiltonian systems. Zbl 0812.58038
Tanaka, Kazunaga
1994
A scale-invariant form of Trudinger-Moser inequality and its best exponent. Zbl 0951.35525
1999
An elementary construction of complex patterns in nonlinear Schrödinger equations. Zbl 1022.34037
del Pino, Manuel; Felmer, Patricio; Tanaka, Kazunaga
2002
Periodic solutions for singular Hamiltonian systems and closed geodesics on non-compact Riemannian manifolds. Zbl 0955.37040
Tanaka, Kazunaga
2000
Nonlinear scalar field equations with $$L^2$$ constraint: mountain pass and symmetric mountain pass approaches. Zbl 1421.35152
Hirata, Jun; Tanaka, Kazunaga
2019
Multiplicity of positive solutions of nonlinear Schrödinger equations concentrating at a potential well. Zbl 1326.35333
Cingolani, Silvia; Jeanjean, Louis; Tanaka, Kazunaga
2015
The fixed energy problem for a class of nonconvex singular Hamiltonian systems. Zbl 1104.37039
Carminati, C.; Séré, é.; Tanaka, K.
2006
Infinitely many periodic solutions for the equation: $$u_{tt}- u_{xx}\pm | u| ^{p-1}u=f(x,t)$$. II. Zbl 0696.35113
Tanaka, Kazunaga
1988
Semi-classical states for the nonlinear Choquard equations: existence, multiplicity and concentration at a potential well. Zbl 1431.35169
Cingolani, Silvia; Tanaka, Kazunaga
2019
A prescribed-energy problem for a conservative singular Hamiltonian system. Zbl 0823.34047
Tanaka, Kazunaga
1994
Multi-bump positive solutions for a nonlinear elliptic problem in expanding tubular domains. Zbl 1295.35223
Byeon, Jaeyoung; Tanaka, Kazunaga
2014
A note on the existence of multiple homoclinic orbits for a perturbed radial potential. Zbl 0819.34032
Tanaka, Kazunaga
1994
Infinitely many periodic solutions for the equation: $$u_{tt}- u_{xx}\pm | u| ^{s-1}\,u=f(x,t)$$. Zbl 0591.35007
Tanaka, Kazunaga
1985
Periodic solutions of first order singular Hamiltonian systems. Zbl 0856.70011
Tanaka, Kazunaga
1996
Multiple complex-valued solutions for nonlinear magnetic Schrödinger equations. Zbl 1360.35239
Cingolani, Silvia; Jeanjean, Louis; Tanaka, Kazunaga
2017
High frequency solutions for the singularly-perturbed one-dimensional nonlinear Schrödinger equation. Zbl 1116.34067
Felmer, Patricio; Martínez, Salomé; Tanaka, Kazunaga
2006
Multiple positive solutions for nonhomogeneous elliptic equations. Zbl 1042.35533
2001
Multi-clustered high-energy solutions for a phase transition problem. Zbl 1148.34319
Felmer, Patricio L.; Martínez, Salomé; Tanaka, Kazunaga
2005
On the number of positive solutions of singularly perturbed 1D NLS. Zbl 1245.34064
Felmer, Patricio; Martínez, Salomé; Tanaka, Kazunaga
2006
High-frequency chaotic solutions for a slowly varying dynamical system. Zbl 1156.34033
Felmer, Patricio; Martínez, Salomé; Tanaka, Kazunaga
2006
Normalized solutions for fractional nonlinear scalar field equations via Lagrangian formulation. Zbl 1472.35351
Cingolani, S.; Gallo, M.; Tanaka, K.
2021
Periodic solutions with prescribed energy for some Keplerian $$N$$-body problems. Zbl 0855.70006
Ambrosetti, Antonio; Tanaka, Kazunaga; Vitillaro, Enzo
1994
Density of the range of a wave operator with nonmonotone superlinear nonlinearity. Zbl 0653.35061
Tanaka, Kazunaga
1986
Multiple periodic solutions of a superlinear forced wave equation. Zbl 0801.35087
Tanaka, Kazunaga
1992
Deformation argument under PSP condition and applications. Zbl 1488.35078
Cingolani, Silvia; Tanaka, Kazunaga
2021
Hyperbolic-like solutions for singular Hamiltonian systems. Zbl 0952.37010
Felmer, Patricio; Tanaka, Kazunaga
2000
Infinitely many periodic solutions for the equation: $$u_{tt}-u_{xx}\pm | u| ^{s-1}\,u=f(x,t)$$. Zbl 0591.35008
Tanaka, Kazunaga
1985
Existence of infinitely many solutions for some superlinear elliptic equations. Zbl 0716.35028
Kajikiya, Ryuji; Tanaka, Kazunaga
1990
A remark on periodic solutions of singular Hamiltonian systems. Zbl 1101.37043
Adachi, Shinji; Tanaka, Kazunaga; Terui, Masahito
2005
Multiple solutions for the nonlinear Choquard equation with even or odd nonlinearities. Zbl 1485.35229
Cingolani, Silvia; Gallo, Marco; Tanaka, Kazunaga
2022
Ground state solutions for the nonlinear Choquard equation with prescribed mass. Zbl 1475.35136
Cingolani, Silvia; Tanaka, Kazunaga
2021
Multiple positive solutions for some nonlinear elliptic systems. Zbl 0898.35036
Tanaka, Kazunaga
1997
On the range of wave operators. Zbl 0607.35063
Tanaka, Kazunaga
1985
Highly oscillatory behavior of the activator in the Gierer and Meinhardt system. Zbl 1173.37010
Felmer, Patricio; Martínez, Salomé; Tanaka, Kazunaga
2008
Infinitely many periodic solutions for a superlinear forced wave equation. Zbl 0711.35007
Tanaka, Kazunaga
1987
Infinitely many periodic solutions for a superlinear forced wave equation. Zbl 0726.35007
Tanaka, Kazunaga
1987
Remarks on the Clark theorem. Zbl 1470.58011
Jiang, Guosheng; Tanaka, Kazunaga; Zhang, Chengxiang
2017
Scattering solutions for planar singular Hamiltonian systems via minimization. Zbl 1026.37054
Felmer, Patricio; Tanaka, Kazunaga
2000
Infinitely many periodic solutions for a superlinear forced wave equation. Zbl 0599.35090
Tanaka, Kazunaga
1985
Forced vibrations for a superlinear vibrating string equation. Zbl 0651.35055
Tanaka, Kazunaga
1987
High energy rotation type solutions of the forced pendulum equation. Zbl 1273.34042
Felmer, Patricio; de Laire, André; Martínez, Salomé; Tanaka, Kazunaga
2013
Erratum to: “Normalized solutions for fractional nonlinear scalar field equations via Lagrangian formulation”. Zbl 1474.35583
Cingolani, S.; Gallo, M.; Tanaka, K.
2021
Multiple solutions for the nonlinear Choquard equation with even or odd nonlinearities. Zbl 1485.35229
Cingolani, Silvia; Gallo, Marco; Tanaka, Kazunaga
2022
Normalized solutions for fractional nonlinear scalar field equations via Lagrangian formulation. Zbl 1472.35351
Cingolani, S.; Gallo, M.; Tanaka, K.
2021
Deformation argument under PSP condition and applications. Zbl 1488.35078
Cingolani, Silvia; Tanaka, Kazunaga
2021
Ground state solutions for the nonlinear Choquard equation with prescribed mass. Zbl 1475.35136
Cingolani, Silvia; Tanaka, Kazunaga
2021
Erratum to: “Normalized solutions for fractional nonlinear scalar field equations via Lagrangian formulation”. Zbl 1474.35583
Cingolani, S.; Gallo, M.; Tanaka, K.
2021
A note on deformation argument for $$L^2$$ normalized solutions of nonlinear Schrödinger equations and systems. Zbl 1437.35188
Ikoma, Norihisa; Tanaka, Kazunaga
2019
Nonlinear scalar field equations with $$L^2$$ constraint: mountain pass and symmetric mountain pass approaches. Zbl 1421.35152
Hirata, Jun; Tanaka, Kazunaga
2019
Semi-classical states for the nonlinear Choquard equations: existence, multiplicity and concentration at a potential well. Zbl 1431.35169
Cingolani, Silvia; Tanaka, Kazunaga
2019
Multi-bump solutions for logarithmic Schrödinger equations. Zbl 1383.35217
Tanaka, Kazunaga; Zhang, Chengxiang
2017
Multiple complex-valued solutions for nonlinear magnetic Schrödinger equations. Zbl 1360.35239
Cingolani, Silvia; Jeanjean, Louis; Tanaka, Kazunaga
2017
Remarks on the Clark theorem. Zbl 1470.58011
Jiang, Guosheng; Tanaka, Kazunaga; Zhang, Chengxiang
2017
Continuum of solutions for an elliptic problem with critical growth in the gradient. Zbl 1322.35025
Arcoya, David; De Coster, Colette; Jeanjean, Louis; Tanaka, Kazunaga
2015
Multiplicity of positive solutions of nonlinear Schrödinger equations concentrating at a potential well. Zbl 1326.35333
Cingolani, Silvia; Jeanjean, Louis; Tanaka, Kazunaga
2015
Remarks on the uniqueness for quasilinear elliptic equations with quadratic growth conditions. Zbl 1296.35068
Arcoya, David; De Coster, Colette; Jeanjean, Louis; Tanaka, Kazunaga
2014
Semiclassical standing waves with clustering peaks, for nonlinear Schrödinger equations. Zbl 1303.35094
Byeon, Jaeyoung; Tanaka, Kazunaga
2014
A variational approach for standing waves of Fitzhugh-Nagumo type systems. Zbl 1292.35117
Chen, Chao-Nien; Tanaka, Kazunaga
2014
Multi-bump positive solutions for a nonlinear elliptic problem in expanding tubular domains. Zbl 1295.35223
Byeon, Jaeyoung; Tanaka, Kazunaga
2014
On a system of nonlinear Schrödinger equations with quadratic interaction. Zbl 1291.35347
Hayashi, Nakao; Ozawa, Tohru; Tanaka, Kazunaga
2013
Semi-classical standing waves for nonlinear Schrödinger equations at structurally stable critical points of the potential. Zbl 1294.35131
Byeon, Jaeyoung; Tanaka, Kazunaga
2013
High energy rotation type solutions of the forced pendulum equation. Zbl 1273.34042
Felmer, Patricio; de Laire, André; Martínez, Salomé; Tanaka, Kazunaga
2013
A local mountain pass type result for a system of nonlinear Schrödinger equations. Zbl 1215.35061
Ikoma, Norihisa; Tanaka, Kazunaga
2011
Nonlinear scalar field equations in $$\mathbb{R}^N$$: Mountain pass and symmetric mountain pass approaches. Zbl 1203.35106
Hirata, Jun; Ikoma, Norihisa; Tanaka, Kazunaga
2010
Sign-changing multi-bump solutions for nonlinear Schrödinger equations with steep potential wells. Zbl 1198.35261
Sato, Yohei; Tanaka, Kazunaga
2009
Standing waves for nonlinear Schrödinger equations with a general nonlinearity: one and two dimensional cases. Zbl 1155.35344
Byeon, Jaeyoung; Jeanjean, Louis; Tanaka, Kazunaga
2008
Uniqueness of radially symmetric positive solutions for $$- \Delta u+u=u^p$$ in an annulus. Zbl 1159.34016
Felmer, Patricio; Martínez, Salomé; Tanaka, Kazunaga
2008
Highly oscillatory behavior of the activator in the Gierer and Meinhardt system. Zbl 1173.37010
Felmer, Patricio; Martínez, Salomé; Tanaka, Kazunaga
2008
The fixed energy problem for a class of nonconvex singular Hamiltonian systems. Zbl 1104.37039
Carminati, C.; Séré, é.; Tanaka, K.
2006
High frequency solutions for the singularly-perturbed one-dimensional nonlinear Schrödinger equation. Zbl 1116.34067
Felmer, Patricio; Martínez, Salomé; Tanaka, Kazunaga
2006
On the number of positive solutions of singularly perturbed 1D NLS. Zbl 1245.34064
Felmer, Patricio; Martínez, Salomé; Tanaka, Kazunaga
2006
High-frequency chaotic solutions for a slowly varying dynamical system. Zbl 1156.34033
Felmer, Patricio; Martínez, Salomé; Tanaka, Kazunaga
2006
A positive solution for a nonlinear Schrödinger equation on $$\mathbb R^N$$. Zbl 1143.35321
Jeanjean, Louis; Tanaka, Kazunaga
2005
Multi-clustered high-energy solutions for a phase transition problem. Zbl 1148.34319
Felmer, Patricio L.; Martínez, Salomé; Tanaka, Kazunaga
2005
A remark on periodic solutions of singular Hamiltonian systems. Zbl 1101.37043
Adachi, Shinji; Tanaka, Kazunaga; Terui, Masahito
2005
Singularly perturbed elliptic problems with superlinear or asymptotically linear nonlinearities. Zbl 1060.35012
Jeanjean, Louis; Tanaka, Kazunaga
2004
A remark on least energy solutions in $$\mathbb R^N$$. Zbl 1094.35049
Jeanjean, Louis; Tanaka, Kazunaga
2003
Multiplicity of positive solutions of a nonlinear Schrödinger equation. Zbl 1038.35114
Ding, Yanheng; Tanaka, Kazunaga
2003
Clustering layers and boundary layers in spatially inhomogeneous phase transition problems. (Couches limites dans des problèmes de transition de phase spatialement inhomogènes.) Zbl 1114.35005
Nakashima, Kimie; Tanaka, Kazunaga
2003
A note on a mountain pass characterization of least energy solutions. Zbl 1095.35006
Jeanjean, Louis; Tanaka, Kazunaga
2003
A positive solution for an asymptotically linear elliptic problem on $$\mathbb R^{N}$$ autonomous at infinity. Zbl 1225.35088
Jeanjean, Louis; Tanaka, Kazunaga
2002
Existence of positive solutions for a class of nonhomogeneous elliptic equations in $${\mathbb R}^N$$. Zbl 1030.35048
2002
An elementary construction of complex patterns in nonlinear Schrödinger equations. Zbl 1022.34037
del Pino, Manuel; Felmer, Patricio; Tanaka, Kazunaga
2002
Multiple positive solutions for nonhomogeneous elliptic equations. Zbl 1042.35533
2001
Trudinger type inequalities in $$\mathbb{R}^N$$ and their best exponents. Zbl 0980.46020
2000
Four positive solutions for the semilinear elliptic equation: $$-\Delta u+u=a(x) u^p +f(x)$$ in $$\mathbb{R}^N$$. Zbl 0987.35039
2000
Periodic solutions for singular Hamiltonian systems and closed geodesics on non-compact Riemannian manifolds. Zbl 0955.37040
Tanaka, Kazunaga
2000
Hyperbolic-like solutions for singular Hamiltonian systems. Zbl 0952.37010
Felmer, Patricio; Tanaka, Kazunaga
2000
Scattering solutions for planar singular Hamiltonian systems via minimization. Zbl 1026.37054
Felmer, Patricio; Tanaka, Kazunaga
2000
Uniqueness of positive radial solutions of semilinear elliptic equations in $$\mathbb{R}^N$$ and Séré’s non-degeneracy condition. Zbl 0930.35064
Kabeya, Yoshitsugu; Tanaka, Kazunaga
1999
A scale-invariant form of Trudinger-Moser inequality and its best exponent. Zbl 0951.35525
1999
Multiple positive solutions for some nonlinear elliptic systems. Zbl 0898.35036
Tanaka, Kazunaga
1997
Periodic solutions of first order singular Hamiltonian systems. Zbl 0856.70011
Tanaka, Kazunaga
1996
A note on generalized solutions of singular Hamiltonian systems. Zbl 0812.58038
Tanaka, Kazunaga
1994
A prescribed-energy problem for a conservative singular Hamiltonian system. Zbl 0823.34047
Tanaka, Kazunaga
1994
A note on the existence of multiple homoclinic orbits for a perturbed radial potential. Zbl 0819.34032
Tanaka, Kazunaga
1994
Periodic solutions with prescribed energy for some Keplerian $$N$$-body problems. Zbl 0855.70006
Ambrosetti, Antonio; Tanaka, Kazunaga; Vitillaro, Enzo
1994
A prescribed energy problem for a singular Hamiltonian system with a weak force. Zbl 0771.70014
Tanaka, Kazunaga
1993
Non-collision solutions for a second order singular Hamiltonian system with weak force. Zbl 0781.58036
Tanaka, Kazunaga
1993
Multiple periodic solutions of a superlinear forced wave equation. Zbl 0801.35087
Tanaka, Kazunaga
1992
Some results on connecting orbits for a class of Hamiltonian systems. Zbl 0707.58022
Rabinowitz, Paul H.; Tanaka, Kazunaga
1991
Homoclinic orbits in a first order superquadratic Hamiltonian system: Convergence of subharmonic orbits. Zbl 0787.34041
Tanaka, Kazunaga; Mischaikow, Konstantin
1991
Homoclinic orbits for a singular second order Hamiltonian system. Zbl 0712.58026
Tanaka, Kazunaga
1990
Existence of infinitely many solutions for some superlinear elliptic equations. Zbl 0716.35028
Kajikiya, Ryuji; Tanaka, Kazunaga
1990
Morse indices at critical points related to the symmetric mountain pass theorem and applications. Zbl 0669.34035
Tanaka, Kazunaga
1989
Infinitely many periodic solutions for the equation: $$u_{tt}- u_{xx}\pm | u| ^{p-1}u=f(x,t)$$. II. Zbl 0696.35113
Tanaka, Kazunaga
1988
Infinitely many periodic solutions for a superlinear forced wave equation. Zbl 0711.35007
Tanaka, Kazunaga
1987
Infinitely many periodic solutions for a superlinear forced wave equation. Zbl 0726.35007
Tanaka, Kazunaga
1987
Forced vibrations for a superlinear vibrating string equation. Zbl 0651.35055
Tanaka, Kazunaga
1987
Density of the range of a wave operator with nonmonotone superlinear nonlinearity. Zbl 0653.35061
Tanaka, Kazunaga
1986
Infinitely many periodic solutions for the equation: $$u_{tt}- u_{xx}\pm | u| ^{s-1}\,u=f(x,t)$$. Zbl 0591.35007
Tanaka, Kazunaga
1985
Infinitely many periodic solutions for the equation: $$u_{tt}-u_{xx}\pm | u| ^{s-1}\,u=f(x,t)$$. Zbl 0591.35008
Tanaka, Kazunaga
1985
On the range of wave operators. Zbl 0607.35063
Tanaka, Kazunaga
1985
Infinitely many periodic solutions for a superlinear forced wave equation. Zbl 0599.35090
Tanaka, Kazunaga
1985
all top 5

Cited by 995 Authors

 63 Tang, Xianhua 39 Tanaka, Kazunaga 33 Alves, Claudianor Oliveira 28 Zou, Wenming 26 Lu, Guozhen 24 Do Ó, João M. Bezerra 23 Ding, Yanheng 22 Yang, Minbo 21 Byeon, Jaeyoung 20 Jeanjean, Louis 20 Wei, Juncheng 20 Wu, Tsungfang 20 Zhang, Jianjun 20 Zhang, Ziheng 17 Chen, Sitong 17 Wang, Jun 16 Lam, Nguyen 15 Maia, Liliane A. 15 Wang, Youjun 15 Wang, Zhi-Qiang 14 Saanouni, Tarek 14 Yuan, Rong 14 Zhang, Fubao 13 Chen, Haibo 12 Chen, Lu 12 Figueiredo, Giovany Malcher 12 Ikoma, Norihisa 11 Chen, Chaonien 11 Ji, Chao 11 Nguyễn Văn Hoàng 11 Rădulescu, Vicenţiu D. 11 Salvatore, Addolorata 11 Sato, Yohei 11 Wadade, Hidemitsu 11 Zhu, Maochun 10 Bartsch, Thomas J. 10 Chen, Guanwei 10 Chen, Peng 10 Cingolani, Silvia 10 Liu, Zhisu 10 Lu, Shiping 10 Miyagaki, Olimpio Hiroshi 10 Watanabe, Tatsuya 10 Xu, Junxiang 9 Che, Guofeng 9 Felmer, Patricio L. 9 Ishiwata, Michinori 9 Janczewska, Joanna 9 Lin, Xiaoyan 9 Sani, Federica 9 Tang, Zhongwei 9 Zhao, Fukun 9 Zhao, Leiga 8 Adachi, Shinji 8 Ambrosio, Vincenzo 8 Aouaoui, Sami 8 Chen, Huiwen 8 De Coster, Colette 8 He, Zhimin 8 Lv, Xiang 8 Masmoudi, Nader 8 Mederski, Jarosław 8 Pomponio, Alessio 8 Severo, Uberlandio Batista 8 Shen, Yaotian 8 Squassina, Marco 8 Tang, Chun-Lei 8 Zhang, Shiqing 7 Bonheure, Denis 7 d’Avenia, Pietro 7 He, Yi 7 Huang, Yisheng 7 Izydorek, Marek 7 Montecchiari, Piero 7 Ruviaro, Ricardo 7 Séré, Eric 7 Shioji, Naoki 7 Soares, Sérgio H. Monari 7 Sun, Juntao 7 Timoumi, Mohsen 7 Wu, Dong-Lun 7 Wu, Xingping 7 Wu, Yuanze 6 Agarwal, Ravi P. 6 Ambrosetti, Antonio 6 Candela, Anna Maria 6 Cassani, Daniele 6 Černý, Robert 6 Chen, Zhijie 6 de Souza, Manassés X. 6 Fang, Xiangdong 6 Gao, Fashun 6 Kajikiya, Ryuji 6 Lin, Hueili 6 Lv, Ying 6 Majdoub, Mohamed 6 Martínez, Salomé 6 da Silva Montenegro, Marcelo 6 Pastor, Ademir 6 Peng, Shuangjie ...and 895 more Authors
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Cited in 174 Serials

 121 Journal of Differential Equations 120 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 101 Journal of Mathematical Analysis and Applications 79 Calculus of Variations and Partial Differential Equations 44 Communications on Pure and Applied Analysis 33 Discrete and Continuous Dynamical Systems 33 Advanced Nonlinear Studies 31 Journal of Mathematical Physics 28 Boundary Value Problems 25 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 25 NoDEA. Nonlinear Differential Equations and Applications 23 Journal of Functional Analysis 21 Communications in Contemporary Mathematics 20 Applicable Analysis 20 ZAMP. Zeitschrift für angewandte Mathematik und Physik 20 Annali di Matematica Pura ed Applicata. Serie Quarta 17 Advances in Nonlinear Analysis 16 Mathematical Methods in the Applied Sciences 16 Abstract and Applied Analysis 16 Nonlinear Analysis. Real World Applications 15 Archive for Rational Mechanics and Analysis 15 Proceedings of the American Mathematical Society 15 Complex Variables and Elliptic Equations 14 Mediterranean Journal of Mathematics 14 Journal of Fixed Point Theory and Applications 13 Nonlinearity 13 The Journal of Geometric Analysis 13 Advances in Difference Equations 12 Mathematische Annalen 12 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 12 Science China. Mathematics 10 Computers & Mathematics with Applications 10 Applied Mathematics Letters 10 Communications in Partial Differential Equations 9 Advances in Mathematics 9 Mathematische Nachrichten 8 Nonlinear Analysis. Theory, Methods & Applications 7 Communications in Mathematical Physics 7 Chaos, Solitons and Fractals 7 Transactions of the American Mathematical Society 6 Applied Mathematics and Computation 6 Journal of Dynamics and Differential Equations 6 Topological Methods in Nonlinear Analysis 6 Acta Mathematica Sinica. English Series 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 Journal of Applied Mathematics and Computing 5 Manuscripta Mathematica 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 Proceedings of the Japan Academy. Series A 5 Acta Applicandae Mathematicae 5 Revista Matemática Iberoamericana 5 Asymptotic Analysis 5 Potential Analysis 5 Electronic Journal of Differential Equations (EJDE) 5 Journal of Difference Equations and Applications 5 Qualitative Theory of Dynamical Systems 5 Acta Mathematica Scientia. Series B. (English Edition) 5 Journal of Elliptic and Parabolic Equations 5 SN Partial Differential Equations and Applications 4 Communications on Pure and Applied Mathematics 4 Tokyo Journal of Mathematics 4 Physica D 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 The Journal of Fourier Analysis and Applications 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Journal of Inequalities and Applications 4 Milan Journal of Mathematics 3 Israel Journal of Mathematics 3 Rocky Mountain Journal of Mathematics 3 Annales Polonici Mathematici 3 Archiv der Mathematik 3 Journal of Computational and Applied Mathematics 3 Mathematische Zeitschrift 3 Monatshefte für Mathematik 3 Zeitschrift für Analysis und ihre Anwendungen 3 Acta Mathematicae Applicatae Sinica. English Series 3 International Journal of Mathematics 3 SIAM Journal on Mathematical Analysis 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Advances in Differential Equations 3 Revista Matemática Complutense 3 Annales Henri Poincaré 3 Journal of Evolution Equations 3 Discrete and Continuous Dynamical Systems. Series B 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Applied Analysis and Computation 2 Bulletin of the Australian Mathematical Society 2 Letters in Mathematical Physics 2 Mathematical Notes 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Czechoslovak Mathematical Journal 2 International Journal of Mathematics and Mathematical Sciences 2 Memoirs of the American Mathematical Society 2 Rendiconti del Seminario Matematico della Università di Padova 2 Results in Mathematics 2 Ergodic Theory and Dynamical Systems 2 Chinese Annals of Mathematics. Series B 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Bulletin des Sciences Mathématiques ...and 74 more Serials
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Cited in 33 Fields

 1,021 Partial differential equations (35-XX) 210 Dynamical systems and ergodic theory (37-XX) 204 Global analysis, analysis on manifolds (58-XX) 203 Ordinary differential equations (34-XX) 115 Functional analysis (46-XX) 78 Mechanics of particles and systems (70-XX) 75 Operator theory (47-XX) 67 Real functions (26-XX) 47 Calculus of variations and optimal control; optimization (49-XX) 40 Quantum theory (81-XX) 22 Difference and functional equations (39-XX) 20 Optics, electromagnetic theory (78-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 13 Mechanics of deformable solids (74-XX) 10 Differential geometry (53-XX) 9 Biology and other natural sciences (92-XX) 8 Potential theory (31-XX) 8 Integral equations (45-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Fluid mechanics (76-XX) 4 Numerical analysis (65-XX) 3 Topological groups, Lie groups (22-XX) 3 Special functions (33-XX) 3 Abstract harmonic analysis (43-XX) 3 Relativity and gravitational theory (83-XX) 2 Convex and discrete geometry (52-XX) 2 Manifolds and cell complexes (57-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX)