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Titlebook: Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems; D. Motreanu,V. Rǎdulescu Book 2003 Springer Sci

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发表于 2025-3-21 19:57:23 | 显示全部楼层 |阅读模式
书目名称Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems
编辑D. Motreanu,V. Rǎdulescu
视频videohttp://file.papertrans.cn/981/980630/980630.mp4
丛书名称Nonconvex Optimization and Its Applications
图书封面Titlebook: Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems;  D. Motreanu,V. Rǎdulescu Book 2003 Springer Sci
描述This book reflects a significant part of authors‘ research activity dur­ ing the last ten years. The present monograph is constructed on the results obtained by the authors through their direct cooperation or due to the authors separately or in cooperation with other mathematicians. All these results fit in a unitary scheme giving the structure of this work. The book is mainly addressed to researchers and scholars in Pure and Applied Mathematics, Mechanics, Physics and Engineering. We are greatly indebted to Viorica Venera Motreanu for the careful reading of the manuscript and helpful comments on important issues. We are also grateful to our Editors of Kluwer Academic Publishers for their professional assistance. Our deepest thanks go to our numerous scientific collaborators and friends, whose work was so important for us. D. Motreanu and V. Radulescu IX Introduction The present monograph is based on original results obtained by the authors in the last decade. This book provides a comprehensive expo­ sition of some modern topics in nonlinear analysis with applications to the study of several classes of boundary value problems. Our framework includes multivalued elliptic problems wi
出版日期Book 2003
关键词Boundary value problem; optimization; perturbation; perturbation theory; partial differential equations;
版次1
doihttps://doi.org/10.1007/978-1-4757-6921-0
isbn_softcover978-1-4419-5248-6
isbn_ebook978-1-4757-6921-0Series ISSN 1571-568X
issn_series 1571-568X
copyrightSpringer Science+Business Media Dordrecht 2003
The information of publication is updating

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Eigenvalue Problems with Symmetries,stablished by Ambrosetti and Rabinowitz (see [1], [16]), while pioneering results in the study of multiple solutions for periodic problems can be found in Fournier and Willem [6], and Mawhin and Willem [9].
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Elements of Nonsmooth Analysis,], different nonsmooth versions of Palais-Smale conditions and basic elements of nonsmooth calculus developed by Degiovanni [9], [10]. A major part in Section 2 is devoted to the relationship between the Palais-Smale condition and the coerciveness in the nonsmooth setting.
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Multivalued Elliptic Problems in Variational Form,1] (and its various generalizations) and the Ljusternik-Schnirelmann Theorem [16]. These results apply to the case when the solutions of the given problem are critical points of an appropriate functional of energy ., which is supposed to be real and .., or only differentiable, on a real Banach space
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Boundary Value Problems in Non-Variational Form, in the sense of Clarke [13] of some locally Lipschitz function. The elliptic operator is a general quasilinear operator of Leray-Lions type. Of special interest is the case where the multivalued term is described by the usual subdifferential of a convex function. Our main result is the existence of
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