Zhi-Juan Tong, Jianqing Chen, Zhi-Qiang Wang
Abstract:
This article concerns the existence of multiple non-radial
positive solutions of the L2-constrained problem
where Q(x) is a radially symmetric function, ε>0 is a small parameter,
N≥2, and p in (2, 2+4/N) is assumed to be mass sub-critical.
We are interested in the symmetry breaking of the normalized solutions and we
prove the existence of multiple non-radial positive solutions as
local minimizers of the energy functional.
Submitted January 16, 2023 Published February 27, 2023.
Math Subject Classifications: 35J20, 35J60, 58E40.
Key Words: Symmetry breaking; local minimizer; concentration; nonlinear Schrodinger equations.
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Zhi-Juan Tong College of Mathematics and Statistics Fujian Normal University Fuzhou, 350117, China email: qsx20200630@student.fjnu.edu.cn |
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Jianqing Chen College of Mathematics and Statistics Fujian Normal University Fuzhou, 350117, China email: jqchen@fjnu.edu.cn |
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Zhi-Qiang Wang College of Mathematics and Statistics Fujian Normal University Fuzhou, 350117, China email: zhi-qiang.wang@usu.edu |
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