| 主な著書・論文 |
- 「偏微分方程式１」（村田實との共著）, 岩波書店, 岩波講座現代数学の基礎, 2002, 258頁.
- Existence and semi-classical limit of the least energy solution to a nonlinear Schrodinger equation with electromagnetic fields Nonlinear Anal. 41 (2000), 763--778.
- Fundamental solution, eigenvalue asymptotics and eigenfunctions of degenerate
- An estimate on the Heat kernel of magnetic Schrodinger operators and uniformly elliptic operartors with non-negative potentials J. London Math. Soc. 62 (2000), 885--903.
- Symmetry breaking and other phenomena in an eigenvalue optimization problem(with S.Chanillo, D.Grieser, M.Imai, I.Ohnishi), Comm. Math. Phys.214 (2000), 315--337.
- The free boundary problm in the optimization of composite membranes(with S.Chanillo, D.Grieser), Contemp. Math. 268 (2000), 61--81.
- On the placement of an obstacle or a well so as to optimize the fundamental eigenvalue (with E.M.Harrell II, P.Kroger),SIAM J.Math.Anal. 33 (2001), 240--259.
- Existence of non-topological solutions for a nonlinear elliptic equation arising from Chern-Simons-Higgs theory in a general background metric Diff. Integ. Equ. 14 (2001), 925--935.
- Existence of positive solutions for some nonlinear elliptic equations on unbounded domains with cylindrical ends (with M. Shibata, K. Tada), Nonlinear Analysis 55 (2003)83-101.
- On an optimization problem for some nonlinear elliptic boundary value problem (with M. Shibata, S. Sakamoto), Applied Math. Optim.50(2004) 259--278.
- A symmetry breaking phenomenon and asymptotic profiles of least energy solutions to a nonlinear Schroedinger equation(with M. Shibata, T. Watanabe), Proc. Royal Soc. Edinburgh. 135A(2005), 357--392.
- Multiple stable patterns for some reaction-diffusion equation in disrupted environments(with T. Ide, K. Tanaka), Discrete and Continuous Dynamical Systems, 14(2006), 93--116.
- Construction and asymptotic behavior of multi-peak solutions to the Gierer-Meinhardt system with saturation(with Kotaro Morimoto),Comm. Pure Appl. Anal. Vol.7 (2008), 1443-1482.
- Optimal Spatial Harvesting Strategy and Symmetry Breaking(with Junping Shi) ,Applied Math. Optim., Vol.58(2008), 89-110.
- Multiple stable patterns in a balanced bistable equation with heterogeneous environments(with H. Matsuzawa),Applicable Analysis, 89(2010), 1023-1035.
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