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book: Variational Methods in Nonlinear Analysis
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Variational Methods in Nonlinear Analysis

Optimization and Partial Differential Equations Applications
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Language: English
Published/Copyright: 2026
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De Gruyter Textbook

About this book

The second edition covers the fundamentals of nonlinear analysis, variational methods and their applications. Also it covers Banach spaces, fixed point theory, nonsmooth analysis, minimax theory, variational calculus and inequalities, critical point theory, monotone, maximal monotone and pseudomonotone operators, and evolution problems. The new edition includes new topics on nonlinear operators, evolution and multivalued problems.

    • A pedagogical presentation of nonlinear analysis at the graduate level
    • Focus on variational techniques and their numerous applications
    • Now covers the parts of evolution problems, nonlocal operators, multivalued evolution problems

Author / Editor information

Dimitrios C. Kravvaritis, National Tech. Univ. Athens; Athanasios N. Yannacopoulos, Athens Univ. Econ. Business, Greece.

Topics

  • Publicly Available

    Frontmatter

    I
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    Dedication

    V
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    Preface

    IX
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  • Publicly Available

    Contents

    XV
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    Notation

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    1 Preliminaries

    1
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    2 Differentiability, convexity, and optimization in Banach spaces

    69
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    3 Fixed point theorems and their applications

    139
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    4 Nonsmooth analysis: the subdifferential

    180
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    5 Minimax theorems and duality

    224
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    6 The calculus of variations

    286
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    7 Variational inequalities

    395
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    8 Critical point theory

    445
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    9 Monotone type operators

    475
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    10 Evolution problems

    531
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    Bibliography

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    Index

    617
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Publishing information
Pages and Images/Illustrations in book
eBook published on:
February 2, 2026
eBook ISBN:
9783111333298
Paperback published on:
February 2, 2026
Paperback ISBN:
9783111333250
Edition:
2nd, revised edition
Pages and Images/Illustrations in book
Front matter:
26
Main content:
622
https://doi.org/10.1515/9783111333298
eBook ISBN: 9783111333298
Paperback ISBN: 9783111333250
Keywords for this book
Fixed point theorem; monotonic operator; Nonlinear Functional Analysis; calculus of variations; variational inequality
Audience(s) for this book
Graduate students, lecturers, and researchers in mathematical analysis and applications
Safety & product resources
Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
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