• 161 Citations
  • 6 h-Index
20032015
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Research Output 2003 2015

  • 161 Citations
  • 6 h-Index
  • 12 Article
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Article
2015
1 Citation (Scopus)

Standing wave concentrating on compact manifolds for nonlinear Schrödinger equations

Byeon, J., Kwon, O. & Oshita, Y., May 1 2015, In : Communications on Pure and Applied Analysis. 14, 3, p. 825-842 18 p.

Research output: Contribution to journalArticle

Standing Wave
Nonlinear equations
Compact Manifold
Nonlinear Equations
Smooth Manifold
2011
6 Citations (Scopus)

Free-vibration acoustic resonance of a nonlinear elastic bar

Tarumi, R. & Oshita, Y., Feb 11 2011, In : Philosophical Magazine. 91, 5, p. 772-786 15 p.

Research output: Contribution to journalArticle

elastic bars
resonant vibration
acoustic resonance
free vibration
calculus of variations
2010
5 Citations (Scopus)

A rigorous derivation of mean-field models for diblock copolymer melts

Niethammer, B. & Oshita, Y., 2010, In : Calculus of Variations and Partial Differential Equations. 39, 3, p. 273-305 33 p.

Research output: Contribution to journalArticle

Mean-field Model
Copolymer
Block copolymers
Microphase separation
Phase Separation
3 Citations (Scopus)
Glues
Standing Wave
Nonlinear equations
Critical point
Nonlinear Equations
2008
8 Citations (Scopus)

Uniqueness of standing waves for nonlinear Schrdinger equations

Byeon, J. & Oshita, Y., Oct 2008, In : Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 138, 5, p. 975-987 13 p.

Research output: Contribution to journalArticle

Nondegeneracy
Standing Wave
Nonlinear Equations
Uniqueness
2007
29 Citations (Scopus)

An application of the modular function in nonlocal variational problems

Chen, X. & Oshita, Y., Oct 2007, In : Archive for Rational Mechanics and Analysis. 186, 1, p. 109-132 24 p.

Research output: Contribution to journalArticle

Block Copolymers
Modular Functions
Nonlocal Problems
Modular Group
Invariance
11 Citations (Scopus)

Singular limit problem for some elliptic systems

Oshita, Y., 2007, In : SIAM Journal on Mathematical Analysis. 38, 6, p. 1886-1911 26 p.

Research output: Contribution to journalArticle

Interface Problems
Singular Limit
Nondegeneracy
Elliptic Systems
Bounded Domain
2005
36 Citations (Scopus)
Global Minimizer
Long-range Interactions
Energy Functional
Phase separation
Periodicity
3 Citations (Scopus)

Stable stationary patterns and interfaces arising in reaction-diffusion systems

Oshita, Y., 2005, In : SIAM Journal on Mathematical Analysis. 36, 2, p. 479-497 19 p.

Research output: Contribution to journalArticle

Reaction-diffusion System
Phase separation
Limiting
FitzHugh-Nagumo
Phase Separation
2004
22 Citations (Scopus)

Existence of multi-bump standing waves with a critical frequency for nonlinear Schrödinger equations

Byeon, J. & Oshita, Y., 2004, In : Communications in Partial Differential Equations. 29, 11-12, p. 1877-1904 28 p.

Research output: Contribution to journalArticle

Standing Wave
Nonlinear equations
Nonlinear Equations
Elliptic Equations
Form
2003
32 Citations (Scopus)
FitzHugh-Nagumo Equations
Plankton
Stationary Solutions
Higher Dimensions
Mathematical Biology
5 Citations (Scopus)

Standing Pulse Solutions for the FitzHugh-Nagumo Equations

Oshita, Y. & Ohnishi, I., Feb 2003, In : Japan Journal of Industrial and Applied Mathematics. 20, 1, p. 101-115 15 p.

Research output: Contribution to journalArticle

FitzHugh-Nagumo Equations
Inhibitor
Lyapunov-Schmidt Method
Lyapunov-Schmidt Reduction
Allen-Cahn Equation