Global Sequence Convergence of a Local Minimax Method for Finding Multiple Solutions in Banach Spaces

DOI10.1080/01630563.2011.597630zbMath1235.65137OpenAlexW2095395492MaRDI QIDQ3114597

Jian Xin Zhou

Publication date: 19 February 2012

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2011.597630

zbMATH Keywords

Banach spacemultiple solutionspseudo-gradientlocal minimax methodglobal sequence convergence

Mathematics Subject Classification ID

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) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (9)

An improved local-min-orthogonal method for finding multiple solutions to nonlinear elliptic PDEs ⋮ Finding multiple solutions to elliptic PDE with nonlinear boundary conditions ⋮ Finding Gateaux-Saddles by a Local Minimax Method ⋮ A local minimax method using virtual geometric objects. I. For finding saddles ⋮ A local minimax method using virtual geometric objects. II. For finding equality constrained saddles ⋮ A new approach for numerically solving nonlinear eigensolution problems ⋮ An orthogonal subspace minimization method for finding multiple solutions to the defocusing nonlinear Schrödinger equation with symmetry ⋮ An augmented singular transform and its partial Newton method for finding new solutions ⋮ Convergence analysis of a minimax method for finding multiple solutions of semilinear elliptic equation.: I: On polyhedral domain

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• 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

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