Structure of multiple solutions for nonlinear differential equations

zbMath1090.35075MaRDI QIDQ2386580

Chuan-miao Chen, Zi-Qing Xie

Publication date: 30 August 2005

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

multiple solutionssemilinear elliptic problemnonlinear problemconjectures on number of multiple solutionssearch-extension methodstructures of multiple solutions for various nonlinearities

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Semilinear elliptic equations (35J61)

Related Items (8)

HomPINNs: Homotopy physics-informed neural networks for learning multiple solutions of nonlinear elliptic differential equations ⋮ Superconvergence of triangular quadratic finite element with interpolated coefficients for semilinear parabolic equation ⋮ Two-Level Spectral Methods for Nonlinear Elliptic Equations with Multiple Solutions ⋮ An efficient spectral trust-region deflation method for multiple solutions ⋮ \(n\)-widths of some classes of periodic functions ⋮ A bootstrapping approach for computing multiple solutions of differential equations ⋮ Analysis of search-extension method for finding multiple solutions of nonlinear problem ⋮ A homotopy method with adaptive basis selection for computing multiple solutions of differential equations

This page was built for publication: Structure of multiple solutions for nonlinear differential equations