3 papers
math.NA2026
Efficient Nehari manifold optimization algorithms for computing ground state solutions of nonlinear elliptic systems
Zhaoxing Chen, Wei Liu, Ziqing Xie +1
This paper presents a class of efficient manifold optimization algorithms for computing the ground state solutions of a semilinear elliptic system, which are unstable saddle points…
math.NA2025
A Convergent Inexact Abedin-Kitagawa Iteration Method for Monge-Ampère Eigenvalue Problems
Liang Chen, Youyicun Lin, Junqi Yang +1
This paper proposes an inexact Aleksandrov-solution-based iteration method, formulated by adapting the convergent Rayleigh inverse iterative scheme introduced by Abedin and Kitagaw…
math.NA2025
Nehari manifold optimization and its application for finding unstable solutions of semilinear elliptic PDEs
Zhaoxing Chen, Wei Liu, Ziqing Xie +1
A Nehari manifold optimization method (NMOM) is introduced for finding 1-saddles, i.e., saddle points with the Morse index equal to one, of a generic nonlinear functional in Hilber…