Tong, Zhi-JuanChen, JianqingWang, Zhi-Qiang2023-05-232023-05-232023-02-27Tong, Z. J., Chen, J., & Wang, Z. Q. (2023). Non-radial normalized solutions for a nonlinear Schrodinger equation. <i>Electronic Journal of Differential Equations, 2023</i>(19), pp. 1-14.1072-6691https://hdl.handle.net/10877/16854This article concerns the existence of multiple non-radial positive solutions of the L2-constrained problem -Δu - Q(ɛx)|u|p-2u = λu, in ℝN, ∫ℝN |u|2dx = 1, 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.Text14 pages14 pages1 file (.pdf)enAttribution 4.0 InternationalSymmetry breakingLocal minimizerConcentrationNonlinear Schrödinger equationsArticle