Variational, Topological, and Partial Order Methods with Their Applications, Zhitao Zhang

Автор: Molica Bisci
Название: Variational Methods for Nonlocal Fractional Problems
ISBN: 1107111943 ISBN-13(EAN): 9781107111943
Издательство: Cambridge Academ
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Описание: Devoted to the variational analysis of problems described by nonlocal operators, this book will appeal to a wide range of researchers and graduate students in mathematics, especially those interested in nonlinear phenomena. A careful balance is struck between rigorous mathematics and physical applications.

Автор: Dumitru Motreanu; Vicentiu D. Radulescu
Название: Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems
ISBN: 1441952489 ISBN-13(EAN): 9781441952486
Издательство: Springer
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Описание: Excepting Sections 1 and 3 in Chapter 1 and Sections 1 and 3 in Chapter 2, the material is new in comparison with any other book, representing research topics where the authors contributed.

Автор: Gianni Dal Maso; Franco Tomarelli
Название: Variational Methods for Discontinuous Structures
ISBN: 3034894708 ISBN-13(EAN): 9783034894708
Издательство: Springer
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Описание: viii Preface Other talks were dedicated to specific problems of the calculus of variations: variational theory of weak or lower-dimensional structures, optimal transport prob- lems with free Dirichlet regions, higher order variational problems, symmetrization in the BV framework.

Автор: A.V. Arkhangel`skii
Название: Topological Function Spaces
ISBN: 0792315316 ISBN-13(EAN): 9780792315315
Издательство: Springer
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Описание: One service mathematics has rendered the 'Et moi, "0' si j'avait su oomment en revenir. human race. It has put common sense back je n'y serais point aile: ' Jules Verne where it belongs. on the topmost shelf next to the dusty canister labelled 'discarded n- sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com- puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'el: re of this series.

Автор: A.Y. Helemskii
Название: The Homology of Banach and Topological Algebras
ISBN: 0792302176 ISBN-13(EAN): 9780792302179
Издательство: Springer
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Описание: 'Et moi -.... si j'avait su comment en revenir. One service mathematics has rendered the human race. It has put common sense back je n'y serais point aUe.' it belongs. on the topmost shelf next Jules Verne where to the dusty canister labelled 'discarded non- The series is divergent: therefore we may be sense'. Eric T. Bell able to do something with it. o. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com- puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Автор: Emil Prodan
Название: A Computational Non-commutative Geometry Program for Disordered Topological Insulators
ISBN: 3319550225 ISBN-13(EAN): 9783319550220
Издательство: Springer
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Описание: Disordered Topological Insulators: A Brief Introduction.- Homogeneous Materials.- Homogeneous Disordered Crystals.- Classification of Homogenous Disordered Crystals.- Electron Dynamics: Concrete Physical Models.- Notations and Conventions.- Physical Models.- Disorder Regimes.- Topological Invariants.- The Non-Commutative Brillouin Torus.- Disorder Configurations and Associated Dynamical Systems.- The Algebra of Covariant Physical Observables.- Fourier Calculus.- Differential Calculus.- Smooth Sub-Algebra.- Sobolev Spaces.- Magnetic Derivations.- Physics Formulas.- The Auxiliary C*-Algebras.- Periodic Disorder Configurations.- The Periodic Approximating Algebra.- Finite-Volume Disorder Configurations.- The Finite-Volume Approximating Algebra.- Approximate Differential Calculus.- Bloch Algebras.- Canonical Finite-Volume Algorithm.- General Picture.- Explicit Computer Implementation.- Error Bounds for Smooth Correlations.- Assumptions.- First Round of Approximations.- Second Round of Approximations.- Overall Error Bounds.- Applications: Transport Coefficients at Finite Temperature.- The Non-Commutative Kubo Formula.- The Integer Quantum Hall Effect.- Chern Insulators.- Error Bounds for Non-Smooth Correlations.- The Aizenman-Molchanov Bound.- Assumptions.- Derivation of Error Bounds.- Applications II: Topological Invariants.- Class AIII in d = 1.- Class A in d = 2.- Class AIII in d = 3.- References.

Автор: Weimin Han; Stanis?aw Mig?rski; Mircea Sofonea
Название: Advances in Variational and Hemivariational Inequalities
ISBN: 3319144898 ISBN-13(EAN): 9783319144894
Издательство: Springer
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Цена: 111790.00 T
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Описание: This volume is comprised of articles providing new results on variational and hemivariational inequalities with applications to Contact Mechanics unavailable from other sources. In addition to results on modeling and abstract problems, the book contains new results on the numerical methods for variational and hemivariational inequalities.

Автор: Robert F. Brown
Название: A Topological Introduction to Nonlinear Analysis
ISBN: 3319117939 ISBN-13(EAN): 9783319117935
Издательство: Springer
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Описание: This third edition is addressed to the mathematician or graduate student of mathematics - or even the well-prepared undergraduate - who would like, with a minimum of background and preparation, to understand some of the beautiful results at the heart of nonlinear analysis.

Автор: Alexander D. Ioffe
Название: Variational Analysis of Regular Mappings
ISBN: 3319642766 ISBN-13(EAN): 9783319642765
Издательство: Springer
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Описание: 1 The Classical Theory.- 2 Metric Theory: Phenomenology.- 3 Metric Theory: The Infinitesimal Viewpoint.- 4 Subdifferentials: A Short Introduction.- 5 Banach Space Theory: Regularity Criteria.- 6 Banach Space Theory: Special Classes of Mappings.- 7 Applications to Analysis and Optimization 1.- 8 Regularity in Finite-Dimensional Spaces.- 9 Applications to Analysis and Optimization 2.

Автор: Dumitru Motreanu; Viorica Venera Motreanu; Nikolao
Название: Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
ISBN: 1493944746 ISBN-13(EAN): 9781493944743
Издательство: Springer
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Описание: With parallel treatment of smooth and non-smooth problems, this text on non-linear boundary value problems and related analysis has new material on Neumann problems involving non-homogeneous differential operators, seen here for the first time in book form.

Автор: V. Benci; G. Cerami; M. Degiovanni; D. Fortunato;
Название: Variational and Topological Methods in the Study of Nonlinear Phenomena
ISBN: 0817642781 ISBN-13(EAN): 9780817642785
Издательство: Springer
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Описание: Covers the advances in the field of nonlinear functional analysis and its applications to nonlinear partial and ordinary differential equations, with particular emphasis on variational and topological methods. This work features chapters on computational aspects and applications to biology. It is suitable for researchers and graduate students.

Автор: V. Benci; G. Cerami; M. Degiovanni; D. Fortunato;
Название: Variational and Topological Methods in the Study of Nonlinear Phenomena
ISBN: 1461266041 ISBN-13(EAN): 9781461266044
Издательство: Springer
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Цена: 93160.00 T
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Описание: The articles in this volume are an outgrowth of an international conference entitled Variational and Topological Methods in the Study of Nonlinear Phe- nomena, held in Pisa in January-February 2000. Under the framework of the research project Differential Equations and the Calculus of Variations, the conference was organized to celebrate the 60th birthday of Antonio Marino, one of the leaders of the research group and a significant contrib- utor to the mathematical activity in this area of nonlinear analysis. The volume highlights recent advances in the field of nonlinear functional analysis and its applications to nonlinear partial and ordinary differential equations, with particular emphasis on variational and topological meth- ods. A broad range of topics is covered, including: concentration phenomena in PDEs, variational methods with applications to PDEs and physics, pe- riodic solutions of ODEs, computational aspects in topological methods, and mathematical models in biology. Though well-differentiated, the topics covered are unified through a com- mon perspective and approach. Unique to the work are several chapters on computational aspects and applications to biology, not usually found with such basic studies on PDEs and ODEs. The volume is an excellent reference text for researchers and graduate students in the above mentioned fields. Contributors are M. Clapp, M.J. Esteban, P. Felmer, A. Ioffe, W. Marzan- towicz, M. Mrozek, M. Musso, R. Ortega, P. Pilarczyk, M. del Pino, E. Sere, E. Schwartzman, P. Sintzoff, R. Turner, and I\f. Willem.