Symmetry breaking and semilinear elliptic equations

DOI10.1016/0377-0427(89)90149-0zbMath0676.65106OpenAlexW2111078505MaRDI QIDQ1122961

Chris J. Budd

Publication date: 1989

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(89)90149-0

zbMATH Keywords

semilinear elliptic equationNumerical resultsradially symmetric solution branchesSymmetry breaking bifurcations

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Bifurcations in context of PDEs (35B32)

Related Items (1)

Symmetry breaking of solutions of non-cooperative elliptic systems

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Pattern selection with \(\mathrm{O}(3)\) symmetry
• Singularities and groups in bifurcation theory. Volume I
• Comparison theorems for radial solutions of semilinear elliptic equations
• Semilinear elliptic equations and supercritical growth
• Bifurcation from simple eigenvalues
• Applications of Shilnikov’s Theory to Semilinear Elliptic Equations
• Semilinear elliptic equations with near critical growth rates
• Bifurcation and symmetry breaking in applied mathematics

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