Symmetry-breaking under small perturbations

DOI10.1007/BF01055753zbMath0692.35009OpenAlexW2031356858MaRDI QIDQ583466

J. A. Smoller, Kuo-Shung Cheng

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf01055753

zbMATH Keywords

semilinear elliptic equationsnonradial solutionssymmetry-breakingdependence on \(| x| \)

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Perturbations in context of PDEs (35B20) Bifurcations in context of PDEs (35B32)

Related Items (1)

Transversality Theory with Applications to Differential Equations

Cites Work

• 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

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