Symmetry-breaking at positive solutions

DOI10.1007/BF00945416zbMath0629.35014OpenAlexW1963690981MaRDI QIDQ1093807

André Vanderbauwhede

Publication date: 1987

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00945416

zbMATH Keywords

positive solutionsspherically symmetricaxisymmetricsymmetry-breaking bifurcation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Bifurcations in context of PDEs (35B32)

Related Items

Symmetry-breaking at non-positive solutions of semilinear elliptic equations, Bifurcation and symmetry breaking

Cites Work

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• Existence, uniqueness, and nondegeneracy of positive solutions of semilinear elliptic equations
• Symmetry-breaking for positive solutions of semilinear elliptic equations
• Symmetry and related properties via the maximum principle
• Symmetry breaking for a class of semilinear elliptic problems