Research Output per year

## 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

## Uniqueness and nondegeneracy of ground states to nonlinear scalar field equations involving the Sobolev critical exponent in their nonlinearities for high frequencies

Akahori, T., Ibrahim, S., Ikoma, N., Kikuchi, H. & Nawa, H., 2019 Aug 1, In : Calculus of Variations and Partial Differential Equations. 58, 4, 120.Research output: Contribution to journal › Article

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 journal › Article

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 journal › Article

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 journal › Article

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 journal › Article

Three-manifolds

Torus

Clifford Torus

Lyapunov-Schmidt Reduction

Constant Scalar Curvature