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On a variational inequality for the Navier-Stokes operator with variable viscosity
A remark on asymptotic profiles of radial solutions with a vortex to a nonlinear Schrödinger equation
| 1. | Department of Mathematics and Infomation Sciences, Tokyo Metropolitan University, 1-1 Minami-Osawa, Hachioji-shi,Tokyo 192-0397 |
| 2. | Department of Mathematics, Tokyo Metropolitan University, 1-1 Minami-Osawa, Hachioji-shi,Tokyo 192-0397, Japan |
-ħ$^2 \Delta v+($ ħ$^2\omega^2/|x|^2+V(x))v=f(v)$ in $\mathbf R^2.$
We give precise asymptotic profiles of solutions as ħ$\rightarrow 0$ by variational methods and ODE arguments.
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