Critical point theorems and applications to differential equations (Q2577869)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Critical point theorems and applications to differential equations |
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Critical point theorems and applications to differential equations (English)
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9 January 2006
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This paper contains a generalization of the Palais-Smale and Cerami conditions. The new compactness condition is first used to obtain a deformation lemma in real Banach spaces. The main abstract result of this paper is a minimax theorem which generalizes the Rabinowitz saddle point theorem and the Benci-Rabinowitz linking theorem. In the last part of the paper the author establishes an existence result for a class of nonlinear Hamiltonian systems.
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critical point theory
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semilinear elliptic boundary value problems
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Hamiltonian system
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resonance
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