Convergence analysis of a spectral-Galerkin-type search extension method for finding multiple solutions to semilinear problems

DOI10.1360/SCM-2019-0357zbMath1499.65702OpenAlexW3134032763MaRDI QIDQ5064324

Yongjun Yuan, Zi-Qing Xie, Wei Liu

Publication date: 21 March 2022

Published in: SCIENTIA SINICA Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1360/scm-2019-0357

zbMATH Keywords

Schauder's fixed point theoremmultiple solutionssemilinear elliptic problemsspectral convergenceinterpolated coefficient spectral methodsearch extension method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Semilinear elliptic equations (35J61)

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