Fourth order Hamiltonian system with some singular nonlinear term and multiplicity result (Q737151)
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scientific article; zbMATH DE number 6609978
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fourth order Hamiltonian system with some singular nonlinear term and multiplicity result |
scientific article; zbMATH DE number 6609978 |
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Fourth order Hamiltonian system with some singular nonlinear term and multiplicity result (English)
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8 August 2016
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The purpose of this paper is to study weak solutions of a fourth order Hamiltonian system. The main theorem states that this system with a certain constraint has infinitetly many nontrivial weak solutions. The proofs use a variational approach with matrix eigenvectors, Hilbert space, Frechet derivative, strong convergence, and generalized mountain pass theorem.
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fourth order Hamiltonian system
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singular nonlinear term
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variational method
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critical point theory
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minimax method
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homology theory
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\((P.S.)_{c}\) condition
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0.93287885
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0.9052496
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0.90184367
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0.89489365
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