35 citations · 47 across the 14 of their papers we have counts for
4 papers · 2 filters
Finite-data inverse nodal optimization in angular-momentum sectors of Schrödinger operators
Xijun Deng, Zhisu Liu, Yonghui Xia
In this paper, we study a finite-data inverse nodal optimization problem for radial Schrödinger operators in an arbitrary fixed angular-momentum sector. The analysis is built direc…
Positive radial ground states for nonlinear biharmonic equations: maximum principles and expanding-domain approximation
Daniele Cassani, Zhisu Liu, Giulio Romani +1
We prove the existence of nonnegative radial ground states for a class of nonlinear biharmonic equations in , covering subcritical and critical nonlinearities. The sol…
Orbital Stability of Smooth Traveling Solitary Waves to the Fornberg-Whitham Equation
Xijun Deng, Stephane Lafortune, Zhisu Liu
The Fornberg-Whitham (FW) equation was introduced by Fornberg and Whitham [Fornberg and Whitham, Phil. Trans. R. Soc. Lond. A (1978)] as a nonlocal model for unidirectional shallow…
Mixed-dispersion Schrödinger equations and Gagliardo-Nirenberg inequalities: equivalence between ground states and optimizers
Zhisu Liu, Giulio Romani, Yu Su
We study a nonlinear Schrödinger equation with mixed dispersion in the mass competition regime, namely mass-supercritical for the Laplacian and mass-subcritical for the Bilaplacian…