Symmetry-breaking at non-positive solutions of semilinear elliptic equations

DOI10.1007/BF00380895zbMath0805.35034OpenAlexW1971381479MaRDI QIDQ1337980

Reiner Lauterbach, Stanislaus Maier-Paape

Publication date: 5 December 1994

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00380895

zbMATH Keywords

semilinear elliptic equationsDirichlet boundary conditionssymmetry- breaking bifurcationsabsolutely irreducible representation of the group \(O(n)\)

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Bifurcations in context of PDEs (35B32) Group-invariant bifurcation theory in infinite-dimensional spaces (58E09)

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