Proof of a conjecture on a discretized elliptic equation with cubic nonlinearity

DOI10.1007/S11425-012-4555-ZzbMath1276.65087OpenAlexW1869093625WikidataQ123015680 ScholiaQ123015680MaRDI QIDQ365843

JinTao Zhang, Bo Yu, XuPing Zhang

Publication date: 9 September 2013

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

Full work available at URL: https://doi.org/10.1007/s11425-012-4555-z

zbMATH Keywords

cubic nonlinearitymultiplicity of eigenvalueselliptic equationGalerkin-eigenfunction discretization

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear elliptic equations (35J60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (3)

Global existence of real roots and random Newton flow algorithm for nonlinear system of equations ⋮ Eigenfunction expansion method for multiple solutions of fourth-order ordinary differential equations with cubic polynomial nonlinearity ⋮ Symmetric homotopy method for discretized elliptic equations with cubic and quintic nonlinearities

Cites Work

• Search extension method for multiple solutions of a nonlinear problem
• A Simple Proof of Jacobi's Two-Square Theorem
• An improved search-extension method for computing multiple solutions of semilinear PDEs

This page was built for publication: Proof of a conjecture on a discretized elliptic equation with cubic nonlinearity