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Kazunaga Tanaka

Kazunaga Tanaka

D-Index & Metrics

Mathematics

D-Index
30
Citations
4239
World Ranking
3494
National Ranking
58

Overview

Kazunaga Tanaka is affiliated with Waseda University in Japan, focusing on research in mathematics, particularly within mathematical physics and applied mathematics. Their body of work spans 36 publications in the broader field of mathematics, with significant contributions to specialized subfields such as mathematical physics, applied mathematics, computational theory and mathematics, statistical and nonlinear physics, and numerical analysis.

The research topics covered by Tanaka include:

  • Advanced Mathematical Physics Problems
  • Nonlinear Partial Differential Equations
  • Nonlinear Differential Equations Analysis
  • Advanced Mathematical Modeling in Engineering
  • Numerical methods in inverse problems
  • Spectral Theory in Mathematical Physics
  • Advanced Harmonic Analysis Research

The scientist has published in a variety of academic venues, frequently appearing in:

  • arXiv (Cornell University)
  • Nonlinearity
  • Calculus of Variations and Partial Differential Equations
  • Symmetry
  • Mathematics in Engineering

Recent papers authored or coauthored by Kazunaga Tanaka include:

  • Multiple solutions for the nonlinear Choquard equation with even or odd nonlinearities, 2022, Calculus of Variations and Partial Differential Equations
  • Normalized solutions for fractional nonlinear scalar field equations via Lagrangian formulation, 2021, Nonlinearity
  • Symmetric Ground States for Doubly Nonlocal Equations with Mass Constraint, 2021, Symmetry
  • Semi-classical states for logarithmic Schrödinger equations, 2021, Nonlinearity
  • On fractional Schrödinger equations with Hartree type nonlinearities, 2021, Mathematics in Engineering

Tanaka collaborates frequently with a number of researchers, including:

  • Silvia Cingolani
  • Marco Gallo
  • Norihisa Ikoma
  • Chengxiang Zhang
  • Zhiqiang Wang

Best Publications

  • A remark on least energy solutions in RN

    Louis Jeanjean;Kazunaga Tanaka

  • Trudinger type inequalities in ^{} and their best exponents

    Shinji Adachi;Kazunaga Tanaka

  • Some results on connecting orbits for a class of Hamiltonian systems.

    Paul H. Rabinowitz;Kazunaga Tanaka

  • A positive solution for a nonlinear Schrödinger equation on Rn

    Louis Jeanjean;Kazunaga Tanaka

  • Singularly perturbed elliptic problems with superlinear or asymptotically linear nonlinearities

    Louis Jeanjean;Kazunaga Tanaka

  • A positive solution for an asymptotically linear elliptic problem on$\mathbb{R}^N$ autonomous at infinity

    Louis Jeanjean;Kazunaga Tanaka

  • Morse indices at critical points related to the symmetric mountain pass theorem and applications

    Kazunaga Tanaka

  • Multiplicity of positive solutions of a nonlinear Schrödinger equation

    Yanheng Ding;Kazunaga Tanaka

  • Four positive solutions for the semilinear elliptic equation: $-\Delta u+u=a(x)u^p+f(x)$ in ${\mathbb R}^N$

    Shinji Adachi;Kazunaga Tanaka

  • Homoclinic orbits in a first order superquadratic hamiltonian system: Convergence of subharmonic orbits

    Kazunaga Tanaka

  • On a system of nonlinear Schrödinger equations with quadratic interaction

    Nakao Hayashi;Tohru Ozawa;Kazunaga Tanaka

  • Nonlinear scalar field equations in $\mathbb{R}^{N}$: mountain pass and symmetric mountain pass approaches

    Jun Hirata;Norihisa Ikoma;Kazunaga Tanaka

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

    Norihisa Ikoma;Kazunaga Tanaka

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

    Jun Hirata;Kazunaga Tanaka

  • Trudinger type inequalities in R^N and their best exponents

    S. Adachi;K. Tanaka

  • Multi-bump solutions for logarithmic Schrödinger equations

    Kazunaga Tanaka;Chengxiang Zhang

  • Clustering layers and boundary layers in spatially inhomogeneous phase transition problems

    Kimie Nakashima;Kazunaga Tanaka

  • Homoclinic orbits for a singular second order hamiltonian system

    Kazunaga Tanaka

  • A note on a mountain pass characterization of least energy solutions

    Louis Jeanjean;Kazunaga Tanaka

  • Standing Waves for Nonlinear Schrödinger Equations with a General Nonlinearity: One and Two Dimensional Cases

    Jaeyoung Byeon;Louis Jeanjean;Kazunaga Tanaka

  • Uniqueness of positive radial solutions of semilinear elliptic equations in R<sup>N</sup>and séré's non—degeneracy condition

    Unknown

  • A note on deformation argument for L2 constraint problems

    Norihisa Ikoma;Kazunaga Tanaka

  • Multi-bump solutions for logarithmic Schr"odinger equations

    Kazunaga Tanaka;Chengxiang Zhang

Frequent Co-Authors

Louis Jeanjean
Louis Jeanjean University of Franche-Comté
Patricio Felmer
Patricio Felmer University of Chile
Zhi-Qiang Wang
Zhi-Qiang Wang Utah State University
Paul H. Rabinowitz
Paul H. Rabinowitz University of Wisconsin–Madison
Nakao Hayashi
Nakao Hayashi Osaka University
Manuel del Pino
Manuel del Pino University of Bath
Tohru Ozawa
Tohru Ozawa Waseda University
Yanheng Ding
Yanheng Ding Chinese Academy of Sciences

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