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

Senli Liu, Shibo Li, Ting Liu

• 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.