A Ljusternik-Schnirelman minimax algorithm for finding equality constrained saddle points and its application for solving eigen problems. I. Algorithm and global convergence
DOI10.1007/S10444-018-9616-6zbMath1421.58004OpenAlexW2809292556WikidataQ129622645 ScholiaQ129622645MaRDI QIDQ2631987
Publication date: 16 May 2019
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-018-9616-6
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational principles in infinite-dimensional spaces (58E30)
Related Items (2)
Cites Work
- Ljusternik-Schnirelman minimax algorithms and an application for finding multiple negative energy solutions of semilinear elliptic Dirichlet problem involving concave and convex nonlinearities. I: Algorithms and convergence
- A minimax method for finding saddle points of upper semi-differentiable locally Lipschitz continuous functional in Banach space and its convergence
- A numerical method for finding multiple co-existing solutions to nonlinear cooperative systems
- Combined effects of concave and convex nonlinearities in some elliptic problems
- Two classes of Ljusternik-Schnirelman minimax algorithms and an application for finding multiple negative energy solutions of a class of \(p\)-Laplacian equations
- A quasi-local Gross-Pitaevskii equation for attractive Bose-Einstein condensates
- Segregated nodal domains of two-dimensional multispecies Bose-Einstein condensates
- Convergence analysis of a minimax method for finding multiple solutions of semilinear elliptic equation.: I: On polyhedral domain
- Convergence analysis of a minimax method for finding multiple solutions of hemivariational inequality in Hilbert space
- A local minimax characterization for computing multiple nonsmooth saddle critical points
- A Minimax Method for Finding Multiple Critical Points and Its Applications to Semilinear PDEs
- A local min-max-orthogonal method for finding multiple solutions to noncooperative elliptic systems
- Structure of a quantized vortex in boson systems
- Unified Convergence Results on a Minimax Algorithm for Finding Multiple Critical Points in Banach Spaces
- Numerical Methods for Computing Nonlinear Eigenpairs: Part I. Iso-Homogeneous Cases
- Numerical Methods for Computing Nonlinear Eigenpairs: Part II. Non-Iso-Homogeneous Cases
- Morse Theory. (AM-51)
- A high-linking algorithm for sign-changing solutions of semilinear elliptic equations
- Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow
- Convergence Results of a Local Minimax Method for Finding Multiple Critical Points
- On an Elliptic Equation with Concave and Convex Nonlinearities
- A mountain pass method for the numerical solution of semilinear elliptic problems
- A Minimax Method for Finding Multiple Critical Points in Banach Spaces and Its Application to Quasi-linear Elliptic PDE
- A minimax method for finding saddle critical points of upper semi-differentiable locally Lipschitz continuous functional in Hilbert space and its convergence
- Unnamed Item
This page was built for publication: A Ljusternik-Schnirelman minimax algorithm for finding equality constrained saddle points and its application for solving eigen problems. I. Algorithm and global convergence