Normalized ground state of a mixed dispersion nonlinear Schrodinger equation with combined power-type nonlinearities
Zhouji Ma,
Xiaojun Chang,
Zhaosheng Feng
Abstract:We study the existence of normalized ground state solutions to a mixed dispersion fourth-order nonlinear Schrodinger equation with combined power-type nonlinearities. By analyzing the subadditivity of the ground state energy with respect to the prescribed mass, we employ a constrained minimization method to establish the existence of ground state that corresponds to a local minimum of the associated functional. Under certain conditions, by studying the monotonicity of ground state energy as the mass varies, we… Show more
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