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This observation reveals multiple nonradial normalized solutions in N-dimensional space, highlighting the compactness requirement.
In this paper, we will utilize the dual method to construct multiple nonradial normalized solutions of the following quasilinear Schrödinger equation: {equation*} -Δu-Δ(|u|²)u-μu=|u|ᵖ⁻²u, in R^N, {equation*} subject to a mass-subcritical constraint. It should be emphasized that the nonradial result of this equation is new. Besides that, when considering the nonradial problem, it is necessary to construct a new workspace to ensure the compactness. Meanwhile, in this paper, we will expand on the method mentioned in TMNA.
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Lin Zhang (2025) studied this question.
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