Variational and Monotonicity Methods in Nonsmooth Analysis by Csaba Varga
This book provides a modern and comprehensive presentation of a wide variety of problems arising in nonlinear analysis, game theory, engineering, mathematical physics and contact mechanics. It includes recent achievements and puts them into the context of the existing literature.
The volume is organized in four parts. Part I contains fundamental mathematical results concerning convex and locally Lipschits functions. Together with the Appendices, this foundational part establishes the self-contained character of the text. As the title suggests, in the following sections, both variational and topological methods are developed based on critical and fixed point results for nonsmooth functions. The authors employ these methods to handle the exemplary problems from game theory and engineering that are investigated in Part II, respectively Part III. Part IV is devoted to applications in contact mechanics.
The book will be of interest to PhD students and researchers in applied mathematics as well as specialists working in nonsmooth analysis and engineering.
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Choquet Integral and Monotone Sublinear Operators
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Exploring Information Geometry
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Hoop Algebras
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Mild Differentiability Conditions for Newton's Method in Banach Spaces
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Heat Kernel on Lie Groups and Maximally Symmetric Spaces
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Direct and Inverse Sturm-Liouville Problems
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Algebraic Approximation: A Guide to Past and Current Solutions
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Advances in the Theory of Varieties of Semigroups
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Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields
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Poncelet Porisms and Beyond
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Stability of Vector Differential Delay Equations
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Applications of Holomorphic Functions in Geometry
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A Primer for a Secret Shortcut to PDEs of Mathematical Physics
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Ulam’s Conjecture on Invariance of Measure in the Hilbert Cube
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Functional Analysis in Asymmetric Normed Spaces
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Topics in Uniform Approximation of Continuous Functions
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Infinite Matrices and their Finite Sections
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Oblique Derivative Problems for Elliptic Equations in Conical Domains
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Approximation of Additive Convolution-Like Operators
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Flag-transitive Steiner Designs
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Functions of Omega-Bounded Type
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q-Clan Geometries in Characteristic 2
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Lifting Modules
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Applied Pseudoanalytic Function Theory
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Homotopy Theory of C*-Algebras
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The Geometry of Filtering
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Functional Identities
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Bicomplex Holomorphic Functions
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Module Theory, Extending Modules and Generalizations
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Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws
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Positive Solutions to Indefinite Problems
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Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets
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Geometric Analysis of Quasilinear Inequalities on Complete Manifolds
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Special Functions and Generalized Sturm-Liouville Problems
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Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization
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Global Well-posedness of Nonlinear Parabolic-Hyperbolic Coupled Systems
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Shafarevich-Tate Groups
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Quaternionic Approximation
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Newton's Method: an Updated Approach of Kantorovich's Theory
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Introduction to Complex Theory of Differential Equations
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Extremum Problems for Eigenvalues of Elliptic Operators
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Artinian Modules over Group Rings
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Exponentially Convergent Algorithms for Abstract Differential Equations
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Geometric Qp Functions
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Schwarz-Pick Type Inequalities
“The text is clearly written and systematic. The proofs are complete and the applications are consistent. The book is useful for researchers, and parts of it can be recommended as additional reading for postgraduate students.” (Petru Jebelean, zbMATH 1490.49001, 2022)
He is a math teacher, an artist who was named one of the top ten animators in 1998, a writer, and a recognized researcher of writing and language history. Mr Varga is the father of four children. His first (Signs Letters Alphabets) and second (The Living Language of the Stone-Age) books have been translated into Hungarian and sold 10,000 times to date.
| SKU | Unavailable |
| ISBN 13 | 9783030816704 |
| ISBN 10 | 3030816702 |
| Title | Variational and Monotonicity Methods in Nonsmooth Analysis |
| Author | Alexandru Kristly |
| Series | Frontiers In Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer Nature Switzerland AG |
| Year published | 2021-09-21 |
| Number of pages | 446 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |