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On supercritical nonlinear Schrödinger equations with ellipse-shaped potentials
Published online by Cambridge University Press: 02 December 2019
Abstract
In this paper, we study the existence and concentration of normalized solutions to the supercritical nonlinear Schrödinger equation
\[ \left\{\begin{array}{@{}ll} -\Delta u + V(x) u = \mu_q u + a \vert u \vert ^q u & {\rm in}\ \mathbb{R}^2,\\ \int_{\mathbb{R}^2} \vert u \vert ^2\,{\rm d}x =1, & \end{array} \right.\]
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- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 150 , Issue 6 , December 2020 , pp. 3187 - 3215
- Copyright
- Copyright © 2019 The Royal Society of Edinburgh
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