2 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
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…