New periodic solutions for the singular Hamiltonian system (Q1724772)
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scientific article; zbMATH DE number 7022910
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New periodic solutions for the singular Hamiltonian system |
scientific article; zbMATH DE number 7022910 |
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New periodic solutions for the singular Hamiltonian system (English)
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14 February 2019
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Summary: By use of the Cerami-Palais-Smale condition, we generalize the classical Weierstrass minimizing theorem to the singular case by allowing functions which attain infinity at some values. As an application, we study certain singular second-order Hamiltonian systems with strong force potential at the origin and show the existence of new periodic solutions with fixed periods.
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