A Morse index formula for minimax type saddle points by a Ljusternik-Schnirelman minimax algorithm and its application in computation of multiple solutions of semilinear elliptic equation
DOI10.1016/j.cam.2020.113076zbMath1447.58016OpenAlexW3038124421MaRDI QIDQ2196047
Publication date: 28 August 2020
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2020.113076
Morse indexLjusternik-Schnirelman minimax algorithmcalculation of Morse indexminimax type saddle point
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) Semilinear elliptic equations (35J61)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
- On a superlinear elliptic equation
- Combined effects of concave and convex nonlinearities in some elliptic problems
- On the Morse indices of sign changing solutions of nonlinear 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
- Estimate of Morse index of cooperative elliptic systems and its application to spatial vector solitons
- A Ljusternik-Schnirelman minimax algorithm for finding equality constrained saddle points and its application for solving eigen problems. I. Algorithm and global convergence
- A Minimax Method for Finding Multiple Critical Points and Its Applications to Semilinear PDEs
- Existence of a third solution for a class of B.V.P. with jumping nonlinearities
- Critical point theory and boundary value problems with nonlinearities crossing multiple eigenvalues
- A Geometric Description of the Neighbourhood of a Critical Point Given by the Mountain-Pass Theorem
- Nontrivial solutions of operator equations and Morse indices of critical points of min-max type
- A high-linking algorithm for sign-changing solutions of semilinear elliptic equations
- Instability analysis of saddle points by a local minimax method
- A mountain pass method for the numerical solution of semilinear elliptic problems
This page was built for publication: A Morse index formula for minimax type saddle points by a Ljusternik-Schnirelman minimax algorithm and its application in computation of multiple solutions of semilinear elliptic equation
