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Titlebook: Nonsmooth Variational Problems and Their Inequalities; Comparison Principle Siegfried Carl,Vy Khoi Le,Dumitru Motreanu Book 2007 Springer-V

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書目名稱Nonsmooth Variational Problems and Their Inequalities
副標(biāo)題Comparison Principle
編輯Siegfried Carl,Vy Khoi Le,Dumitru Motreanu
視頻videohttp://file.papertrans.cn/668/667889/667889.mp4
概述First monograph focusing on variational inequalities as part of nonsmooth variational systems research, containing a wealth of previously unpublished research.Authors apply a wide range of methods and
叢書名稱Springer Monographs in Mathematics
圖書封面Titlebook: Nonsmooth Variational Problems and Their Inequalities; Comparison Principle Siegfried Carl,Vy Khoi Le,Dumitru Motreanu Book 2007 Springer-V
描述.This monograph focuses primarily on nonsmooth variational problems that arise from boundary value problems with nonsmooth data and/or nonsmooth constraints, such as is?multivalued elliptic problems, variational inequalities, hemivariational inequalities, and their corresponding evolution problems. ..The main purpose of this book is to provide a systematic and unified exposition of comparison principles based on a suitably extended sub-supersolution method. This method is an effective and flexible technique to obtain existence and comparison results of solutions.?Also, it can be employed for the investigation of various qualitative properties, such as location, multiplicity and extremality of solutions. In the treatment of the problems under consideration a wide range of methods and techniques from nonlinear and nonsmooth analysis is applied, a brief outline of which has been provided in a preliminary chapter in order to make the book self-contained...This text is an invaluable reference for researchers and graduate students in mathematics (functional analysis, partial differential equations, elasticity, applications in materials science and mechanics) as well as physicists and eng
出版日期Book 2007
關(guān)鍵詞Boundary value problem; Mathematica; differential equation; functional analysis; partial differential eq
版次1
doihttps://doi.org/10.1007/978-0-387-46252-3
isbn_softcover978-1-4419-4033-9
isbn_ebook978-0-387-46252-3Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer-Verlag US 2007
The information of publication is updating

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Variational Equations,ped here will also be useful in the treatment of nonsmooth variational problems in later chapters. Section 3.1 deals with semilinear elliptic Dirichlet boundary value problems and may be considered as a preparatory section for Sect. 3.2 and Sect. 3.3, where general quasilinear elliptic and parabolic
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Multivalued Variational Equations,ued terms are of Clarke’s gradient type. We introduce concepts of sub- and supersolutions that are designed to obtain existence and comparison results and that generalize the notion of sub- and supersolutions of variational equations considered in Chap. 3 in a natural way. Thus, the least requiremen
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Variational Inequalities,utions, we can show the solvability and the existence of extremal solutions of noncoercive inequalities. Despite the nonsymmetric structure of variational inequalities, we show that both supersolutions and subsolutions can be defined in an appropriate manner, which naturally extends the correspondin
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Variational-Hemivariational Inequalities,o account problems subject to constraints for hemivariational inequalities, which means dealing with variational-hemivariational inequalities. The aim of this chapter is three-fold: (a) to develop the method of sub- and supersolutions for quasilinear elliptic variational-hemivariational inequalities
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Siegfried Carl,Vy Khoi Le,Dumitru Motreanuume). The significance of somatic investigation is exemplified by mortality rates of 18% (Theander 1985), a third of which is due to suicide and about two thirds directly and indirectly related to somatic complications of anorexia (Andersen et al. 1990). Besides psychiatric comorbidity, somatic comp
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Siegfried Carl,Vy Khoi Le,Dumitru Motreanuume). The significance of somatic investigation is exemplified by mortality rates of 18% (Theander 1985), a third of which is due to suicide and about two thirds directly and indirectly related to somatic complications of anorexia (Andersen et al. 1990). Besides psychiatric comorbidity, somatic comp
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