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<p>This paper is concerned with the Cauchy problem for a class of biharmonic equation with second-order dispersion term. We prove the existence and orbital stability of normalized standing waves for such equation with bounded potential and mixed power nonlinearity. Moreover, the mass collapse behavior of solutions, the ratio of energy to mass and the precise scope of Lagrange multiplier are considered as well.</p>

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Normalized Solutions to Biharmonic Equation with Bounded Potential and Mixed Power Nonlinearities

  • 期刊论文

  • 发表日期：

    2025年5月22日

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  • Senli Liu,
  • Shibo Li,
  • Ting Liu

摘要

This paper is concerned with the Cauchy problem for a class of biharmonic equation with second-order dispersion term. We prove the existence and orbital stability of normalized standing waves for such equation with bounded potential and mixed power nonlinearity. Moreover, the mass collapse behavior of solutions, the ratio of energy to mass and the precise scope of Lagrange multiplier are considered as well.