• 1913 Citations
  • 21 h-Index
1985 …2019

Research output per year

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Research Output

  • 1913 Citations
  • 21 h-Index
  • 61 Article
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Article
2019

Nonlinear Scalar Field Equations with L 2 Constraint: Mountain Pass and Symmetric Mountain Pass Approaches

Hirata, J. & Tanaka, K., 2019 May 1, In : Advanced Nonlinear Studies. 19, 2, p. 263-290 28 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)
1 Citation (Scopus)
2017

Multi-bump solutions for logarithmic Schrödinger equations

Tanaka, K. & Zhang, C., 2017 Apr 1, In : Calculus of Variations and Partial Differential Equations. 56, 2, 33.

Research output: Contribution to journalArticle

17 Citations (Scopus)

Multiple complex-valued solutions for nonlinear magnetic Schrödinger equations

Cingolani, S., Jeanjean, L. & Tanaka, K., 2017 Mar 1, In : Journal of Fixed Point Theory and Applications. 19, 1, p. 37-66 30 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Remarks on the clark theorem

Jiang, G., Tanaka, K. & Zhang, C., 2017, In : Journal of Nonlinear and Convex Analysis. 18, 8, p. 1421-1434 14 p.

Research output: Contribution to journalArticle

2016
8 Citations (Scopus)
2015

Continuum of solutions for an elliptic problem with critical growth in the gradient

Arcoya, D., De Coster, C., Jeanjean, L. & Tanaka, K., 2015 Apr 15, In : Journal of Functional Analysis. 268, 8, p. 2298-2335 38 p.

Research output: Contribution to journalArticle

21 Citations (Scopus)

Multiplicity of positive solutions of nonlinear Schrödinger equations concentrating at a potential well

Cingolani, S., Jeanjean, L. & Tanaka, K., 2015 Jan 1, In : Calculus of Variations and Partial Differential Equations. 53, 1-2, p. 413-439 27 p.

Research output: Contribution to journalArticle

10 Citations (Scopus)
2014

A variational approach for standing waves of FitzHugh-Nagumo type systems

Chen, C. N. & Tanaka, K., 2014 Jul 1, In : Journal of Differential Equations. 257, 1, p. 109-144 36 p.

Research output: Contribution to journalArticle

14 Citations (Scopus)

Multi-bump positive solutions for a nonlinear elliptic problem in expanding tubular domains

Byeon, J. & Tanaka, K., 2014 May, In : Calculus of Variations and Partial Differential Equations. 50, 1-2, p. 365-397 33 p.

Research output: Contribution to journalArticle

9 Citations (Scopus)

Remarks on the uniqueness for quasilinear elliptic equations with quadratic growth conditions

Arcoya, D., De Coster, C., Jeanjean, L. & Tanaka, K., 2014 Dec 1, In : Journal of Mathematical Analysis and Applications. 420, 1, p. 772-780 9 p.

Research output: Contribution to journalArticle

20 Citations (Scopus)
2013

High energy rotation type solutions of the forced pendulum equation

Felmer, P., Laire, A. D., Martínez, S. & Tanaka, K., 2013 May 1, In : Nonlinearity. 26, 5, p. 1473-1499 27 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

On a system of nonlinear Schrödinger equations with quadratic interaction

Hayashi, N., Ozawa, T. & Tanaka, K., 2013 Jan 1, In : Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. 30, 4, p. 661-690 30 p.

Research output: Contribution to journalArticle

35 Citations (Scopus)
25 Citations (Scopus)
2012

Nonlinear elliptic equations in strip-like domains dedicated to Professor Antonio Ambrosetti

Byeon, J. & Tanaka, K., 2012 Dec 17, In : Advanced Nonlinear Studies. 12, 4, p. 749-765 17 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)
2011

A local mountain pass type result for a system of nonlinear Schrödinger equations

Ikoma, N. & Tanaka, K., 2011 Jan 1, In : Calculus of Variations and Partial Differential Equations. 40, 3, p. 449-480 32 p.

Research output: Contribution to journalArticle

42 Citations (Scopus)
2010

Nonlinear scalar field equations in ℝN: Mountain pass and symmetric mountain pass approaches

Hirata, J., Ikoma, N. & Tanaka, K., 2010 Sep 10, In : Topological Methods in Nonlinear Analysis. 35, 2, p. 253-276 24 p.

Research output: Contribution to journalArticle

54 Citations (Scopus)
2009

Sign-Changing multi-bump solutions for nonlinear schrödinger equations with steep potential wells

Sato, Y. & Tanaka, K., 2009 Dec 1, In : Transactions of the American Mathematical Society. 361, 12, p. 6205-6253 49 p.

Research output: Contribution to journalArticle

20 Citations (Scopus)
2008

Highly oscillatory behavior of the activator in the Gierer and Meinhardt system

Felmer, P., Martínez, S. & Tanaka, K., 2008 Apr 1, In : Mathematische Annalen. 340, 4, p. 749-773 25 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Standing waves for nonlinear Schrödinger equations with a general nonlinearity: One and two dimensional cases

Byeon, J., Jeanjean, L. & Tanaka, K., 2008 Jun 1, In : Communications in Partial Differential Equations. 33, 6, p. 1113-1136 24 p.

Research output: Contribution to journalArticle

35 Citations (Scopus)

Uniqueness of radially symmetric positive solutions for - Δ u + u = up in an annulus

Felmer, P., Martínez, S. & Tanaka, K., 2008 Sep 1, In : Journal of Differential Equations. 245, 5, p. 1198-1209 12 p.

Research output: Contribution to journalArticle

16 Citations (Scopus)
2006

High-frequency chaotic solutions for a slowly varying dynamical system

Felmer, P., Martínez, S. & Tanaka, K., 2006 Apr 1, In : Ergodic Theory and Dynamical Systems. 26, 2, p. 379-407 29 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

High frequency solutions for the singularly-perturbed one-dimensional nonlinear Schrödinger equation

Felmer, P., Martínez, S. & Tanaka, K., 2006 Oct 1, In : Archive for Rational Mechanics and Analysis. 182, 2, p. 333-366 34 p.

Research output: Contribution to journalArticle

10 Citations (Scopus)

Multiple stable patterns for some reaction-diffusion equation in disrupted environments

Ide, T., Kurata, K. & Tanaka, K., 2006 Jan 1, In : Discrete and Continuous Dynamical Systems. 14, 1, p. 93-116 24 p.

Research output: Contribution to journalArticle

On the number of positive solutions of singularly perturbed ID nonlinear Schrödinger equations

Felmer, P., Martínez, S. & Tanaka, K., 2006 Jul 5, In : Journal of the European Mathematical Society. 8, 2, p. 253-268 16 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

The fixed energy problem for a class of nonconvex singular Hamiltonian systems

Carminati, C., Séré, É. & Tanaka, K., 2006 Nov 1, In : Journal of Differential Equations. 230, 1, p. 362-377 16 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)
2005

A positive solution for a nonlinear schrödinger equation on ℝN

Jeanjean, L. & Tanaka, K., 2005 Jun 16, In : Indiana University Mathematics Journal. 54, 2, p. 443-464 22 p.

Research output: Contribution to journalArticle

111 Citations (Scopus)

A remark on periodic solutions of singular Hamiltonian systems

Adachi, S., Tanaka, K. & Terui, M., 2005 Dec 1, In : Nonlinear Differential Equations and Applications. 12, 3, p. 265-274 10 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Multi-clustered high-energy solutions for a phase transition problem

Felmer, P. L., Martínez, S. & Tanaka, K., 2005 Jan 1, In : Royal Society of Edinburgh - Proceedings A. 135, 4, p. 731-765 35 p.

Research output: Contribution to journalArticle

9 Citations (Scopus)
2004

Singularly perturbed elliptic problems with superlinear or asymptotically linear nonlinearities

Jeanjean, L. & Tanaka, K., 2004 Nov 1, In : Calculus of Variations and Partial Differential Equations. 21, 3, p. 287-318 32 p.

Research output: Contribution to journalArticle

138 Citations (Scopus)
2003

A note on a mountain pass characterization of least energy solutions

Jeanjean, L. & Tanaka, K., 2003, In : Advanced Nonlinear Studies. 3, 4, p. 445-455 11 p.

Research output: Contribution to journalArticle

23 Citations (Scopus)

A remark on least energy solutions in RN

Jeanjean, L. & Tanaka, K., 2003 Aug 1, In : Proceedings of the American Mathematical Society. 131, 8, p. 2399-2408 10 p.

Research output: Contribution to journalArticle

182 Citations (Scopus)

Clustering layers and boundary layers in spatially inhomogeneous phase transition problems

Nakashima, K. & Tanaka, K., 2003 Jan 1, In : Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. 20, 1, p. 107-143 37 p.

Research output: Contribution to journalArticle

37 Citations (Scopus)

Multiplicity of positive solutions of a nonlinear Schrödinger equation

Ding, Y. & Tanaka, K., 2003 Sep 1, In : Manuscripta Mathematica. 112, 1, p. 109-135 27 p.

Research output: Contribution to journalArticle

76 Citations (Scopus)
2002

An elementary construction of complex patterns in nonlinear schrödinger equations

Del Pino, M., Felmer, P. & Tanaka, K., 2002 Sep 1, In : Nonlinearity. 15, 5, p. 1653-1671 19 p.

Research output: Contribution to journalArticle

20 Citations (Scopus)
Open Access
93 Citations (Scopus)

Existence of positive solutions for a class of nonhomogeneous elliptic equations in RN

Adachi, S. & Tanaka, K., 2002 Feb 1, In : Nonlinear Analysis, Theory, Methods and Applications. 48, 5, p. 685-705 21 p.

Research output: Contribution to journalArticle

20 Citations (Scopus)
2001

Multiple positive solutions for nonhomogeneous elliptic equations

Adachi, S. & Tanaka, K., 2001 Aug 1, In : Nonlinear Analysis, Theory, Methods and Applications. 47, 6, p. 3783-3793 11 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)
2000
78 Citations (Scopus)

Hyperbolic-like solutions for singular Hamiltonian systems

Felmer, P. & Tanaka, K., 2000 Jan 1, In : Nonlinear Differential Equations and Applications. 7, 1, p. 43-65 23 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)
Open Access
15 Citations (Scopus)

Scattering solutions for planar singular hamiltonian systems via minimization

Felmer, P. & Tanaka, K., 2000 Dec 1, In : Advances in Differential Equations. 5, 10-12, p. 1519-1544 26 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Trudinger type inequalities in RN and their best exponents

Adachi, S. & Tanaka, K., 2000 Jan 1, In : Proceedings of the American Mathematical Society. 128, 7, p. 2051-2057 7 p.

Research output: Contribution to journalArticle

Open Access
172 Citations (Scopus)
1999
39 Citations (Scopus)
1996

Periodic solutions of first order singular Hamiltonian systems

Tanaka, K., 1996 Feb, In : Nonlinear Analysis, Theory, Methods and Applications. 26, 4, p. 691-706 16 p.

Research output: Contribution to journalArticle

10 Citations (Scopus)
1995

A remark on positive radial solutions of the elliptic equation Δu + K(|x|)u(n+2)/(n-2) = 0 in Rn

Asahar, Y. & Tanaka, K., 1995 Feb, In : Proceedings of the American Mathematical Society. 123, 2, p. 527-531 5 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)
1994

A note on generalized solutions of singular hamiltonian systems

Tanaka, K., 1994, In : Proceedings of the American Mathematical Society. 122, 1, p. 275-284 10 p.

Research output: Contribution to journalArticle

19 Citations (Scopus)
10 Citations (Scopus)

A prescribed-energy problem for a conservative singular Hamiltonian system

Tanaka, K., 1994 Jun 1, In : Archive for Rational Mechanics and Analysis. 128, 2, p. 127-164 38 p.

Research output: Contribution to journalArticle

15 Citations (Scopus)

Periodic solutions with prescribed energy for some Keplerian N-body problems 1

Ambrosetti, A., Tanaka, K. & Vitillaro, E., 1994 Nov 1, In : Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. 11, 6, p. 613-632 20 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)