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Differentiability of Six Operators on Nonsmooth Functions and p-Variation

The book is about differentiability of six operators on functions or pairs of functions: composition (f of g), integration (of f dg;

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Measure Theory and Fine Properties of Functions

Alexandro's Theorem (on the twice differentiability a.e. of convex functions). Topics are carefully selected and the proofs succinct, but complete;

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Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations with Inequality Constraints

multiplicity result for a nonlinear elliptic equation driven by the p-Laplacian with a nonsmooth potential (hemivariational inequality) whose;

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Measure Theory and Fine Properties of Functions, Revised Edition

, Rademacher's theorem (on the differentiability a.e. of Lipschitz functions), area and coarea formulas, the precise structure of Sobolev and BV;

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Course In Real Analysis

of functions. It also includes optional sections on Stirling's formula, functions of bounded variation, Riemann-Stieltjes integration, and other topics;

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Quasi-Invariant & Pseduo-Differentiable Measures in Banach Spaces

to be useful in dynamical systems, mathematical biology, mathematical psychology, cryptology and information theory. On the other hand;

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Bifurcation And Chaos In Nonsmooth Mechanical Systems

This book presents the theoretical frame for studying lumped nonsmooth dynamical systems: the mathematical methods are recalled, and;

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Frechet Differentiability Of Lipschitz Functions And Porous

is of independent interest. Detailed explanation of the underlying ideas and motivation behind the proofs of the new results on Frechet differentiability;

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Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179)

is of independent interest. Detailed explanation of the underlying ideas and motivation behind the proofs of the new results on Frechet differentiability;

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A First Course in Sobolev Spaces

advanced undergraduate course in functions of one variable and one for a graduate course on Sobolev functions. The first part develops the theory;

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Gâteaux Differentiability of Convex Functions and Topology

discussed, including interferences and counterexamples, with a special emphasis on topological implications. Nonseparable Banach spaces, renorming;

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London Mathematical Society Lecture Note Series

starts with the basics: a discussion of p-adic numbers and some of the classical differential analysis on the field of p-adic numbers leading to;

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Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems

driven by the p-Laplacian, its generalizations, and their spectral properties, studying a wide variety of problems and illustrating the powerful;

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Variational and Monotonicity Methods in Nonsmooth Analysis

sections, both variational and topological methods are developed based on critical and fixed point results for nonsmooth functions. The authors;

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Algebras of Singular Integral Operators with Kernels Controlled by Multiple Norms

operators are pseudo-local and bounded on $L^p$ for $1 lt p lt infty $. While the usual class of Calderon-Zygmund operators is invariant under a one;

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Evolutionary Algorithms

described and compared on a set of test functions. Chapter 3 considers continuous optimization problems with constraints. Various approaches;

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Nonlinear Analysis

and useful in the present days because many real world problems are nonlinear, nonconvex and nonsmooth in nature. Although basic concepts have;

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Lectures on Nonsmooth Differential Geometry

differential structure in the nonsmooth setting; first-order differential operators and the corresponding functional spaces; the theory of heat flow;

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Lectures on Nonsmooth Differential Geometry

differential structure in the nonsmooth setting; first-order differential operators and the corresponding functional spaces; the theory of heat flow;

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Differentiability in Banach Spaces, Differential Forms and Applications

This book is divided into two parts, the first one to study the theory of differentiable functions between Banach spaces and the second to;

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Differentiability in Banach Spaces, Differential Forms and Applications

This book is divided into two parts, the first one to study the theory of differentiable functions between Banach spaces and the second to;

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Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems

for both smooth and nonsmooth functional, developments on the degree theory of monotone type operators, nonlinear maximum and comparison;

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Variational Methods in Nonlinear Analysis

This well-thought-out book covers the fundamentals of nonlinear analysis, with a particular focus on variational methods and their;

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Optimization for Data Analysis

of the analysis of nonsmooth functions and optimization duality; and the back-propagation approach, relevant to neural networks.;

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Defects Of Properties In Mathematics

; real, complex and functional analysis; algebra; geometry; number theory; fuzzy mathematics.Besides well-known defects , the book introduces;

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Generalized Functions and Fourier Analysis

This book gives an excellent and up-to-date overview on the convergence and joint progress in the fields of Generalized Functions and;

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Generalized Functions and Fourier Analysis

This book gives an excellent and up-to-date overview on the convergence and joint progress in the fields of Generalized Functions and;

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