Titlebook: Critical Point Theory and Hamiltonian Systems; Jean Mawhin,Michel Willem Book 1989 Springer Science+Business Media New York 1989 Boundary

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Critical Point Theory and Hamiltonian Systems978-1-4757-2061-7Series ISSN 0066-5452 Series E-ISSN 2196-968X

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Marktforschung und Marktdynamik,n 0 ∈ .. This result can be proved using degree theory, a way of making an algebraic count of the zeros, in the closure . of an open bounded set . ⊂ .., of continuous mappings . : . having no zeros on .. A short account of degree theory is given in Section 5.3.

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Applied Mathematical Scienceshttp://image.papertrans.cn/d/image/240088.jpg

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Book 1989ndary value problems. In particular, striking results were obtained in the classical problem of periodic solutions of Hamiltonian systems. This book provides a systematic presentation of the most basic tools of critical point theory: minimization, convex functions and Fenchel transform, dual least a

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Minimax Theorems for Indefinite Functionals,hat there exists points .. ∈ .., .. ∈ R. and a bounded open neighborhood Ω of .. such that .. ∈ .. Ω and . > max(..), φ(..)) whenever . ∈ ∂Ω (that is the case for example if .. and .. are two isolated local minimums of .).

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Die Problematik des Unendlichen,sufficient, as shown by the example of the function . defined by . |.| for . ≠ 0 and .(0) = 1, which does not achieve its infimum 0 although all its minimizing sequences converge to zero. In order that the limit a of a convergent minimizing sequence be such that . = inf ., we have to impose that

Acumen

Probleme der mathematischen Logik,hat there exists points .. ∈ .., .. ∈ R. and a bounded open neighborhood Ω of .. such that .. ∈ .. Ω and . > max(..), φ(..)) whenever . ∈ ∂Ω (that is the case for example if .. and .. are two isolated local minimums of .).