Normalized ground state of a mixed dispersion nonlinear Schrodinger equation with combined power-type nonlinearities

Authors

Zhouji Ma
Xiaojun Chang
Zhaosheng Feng, The University of Texas Rio Grande Valley

Document Type

Article

Publication Date

4-1-2024

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 apply the constrained minimization arguments on the Nehari-Pohozaev manifold to prove the existence of normalized ground state solutions.

Comments

Copyright (c) 2024 Zhouji Ma, Xiaojun Chang, Zhaosheng Feng

Recommended Citation

Normalized ground state of a mixed dispersion nonlinear Schrodinger equation with combined power-type nonlinearities. (2024). Electronic Journal of Differential Equations, 2024, No. 29, 1-20. https://doi.org/10.58997/ejde.2024.29

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Publication Title

Electronic Journal of Differential Equations

DOI

10.58997/ejde.2024.29