A note on breaking of symmetry for a class of variational problems

DOI10.1016/j.aml.2019.06.031zbMath1481.34052OpenAlexW2955478153WikidataQ127581044 ScholiaQ127581044MaRDI QIDQ2275206

David Goldstein Costa, Zhi-Wei Fang

Publication date: 2 October 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.06.031

zbMATH Keywords

periodic solutionscritical groupsMorse indexgroup actionsymmetry breaking

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Symmetries, invariants of ordinary differential equations (34C14) Applications of operator theory to differential and integral equations (47N20)

Cites Work

• A symmetry theorem and applications to nonlinear partial differential equations
• Breaking of symmetries for forced equations
• Critical point theory and Hamiltonian systems
• Multibump periodic solutions of a family of Hamiltonian systems
• Dual variational methods in critical point theory and applications
• Unnamed Item

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