Bifurcation method for solving multiple positive solutions to Henon equation on the unit cube

DOI10.1016/j.cnsns.2010.12.023zbMath1227.65126OpenAlexW2048070237MaRDI QIDQ635116

Hai-Long Zhu, Zhong-hua Yang, Zhao-xiang Li

Publication date: 19 August 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.12.023

zbMATH Keywords

numerical resultsboundary value problemLyapunov-Schmidt reductionmultiple solutionspositive symmetric solutionsextended systembranch switchingHenon's equationsymmetry-breaking bifurcations

Mathematics Subject Classification ID

Bifurcations in context of PDEs (35B32) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50)

Related Items (2)

Analysis and computation for a class of semilinear elliptic boundary value problems ⋮ Numerical verification for asymmetric solutions of the Hénon equation on bounded domains

Cites Work

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