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Fingerprint Dive into the research topics where Norihisa Ikoma is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Scalar Field Mathematics
Mountain Pass Mathematics
Positive Solution Mathematics
Nonlinear Equations Mathematics
Radially Symmetric Solutions Mathematics
Three-manifolds Mathematics
Elliptic PDE Mathematics
Fully Nonlinear Mathematics

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Research Output 2009 2019

  • 254 Citations
  • 7 h-Index
  • 17 Article
  • 1 Comment/debate
Critical Sobolev Exponent
Nondegeneracy
Ground state
Scalar Field
Ground State

Existence and non-existence of maximizers for the Moser–Trudinger type inequalities under inhomogeneous constraints

Ikoma, N., Ishiwata, M. & Wadade, H., 2018 Jun 9, (Accepted/In press) In : Mathematische Annalen. p. 1-21 21 p.

Research output: Contribution to journalArticle

Nonexistence
Surface area
Unit ball
Denote

Existence and nonexistence of positive solutions to some fully nonlinear equation in one dimension

Felmer, P. & Ikoma, N., 2018 Oct 15, In : Journal of Functional Analysis. 275, 8, p. 2162-2196 35 p.

Research output: Contribution to journalArticle

Fully Nonlinear Equations
One Dimension
Nonexistence
Positive Solution
Infinity

Embedded area-constrained Willmore Tori of small area in Riemannian three-manifolds, II: Morse theory

Ikoma, N., Malchiodi, A. & Mondino, A., 2017 Jan 1, In : American Journal of Mathematics. 139, 5, p. 5-1378 1374 p.

Research output: Contribution to journalArticle

Three-manifolds
Morse Theory
Torus
Clifford Torus
Morse Inequalities

Embedded area-constrained Willmore tori of small area in Riemannian three-manifolds I: Minimization:

Ikoma, N., Malchiodi, A. & Mondino, A., 2017 Sep 1, In : Proceedings of the London Mathematical Society. 115, 3, p. 502-544 43 p.

Research output: Contribution to journalArticle

Three-manifolds
Torus
Clifford Torus
Lyapunov-Schmidt Reduction
Constant Scalar Curvature