Nonlinear Functional Analysis and its Applications

Table of Contents

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   Book Overview
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   Chapter 1 Introduction to the Subject
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   Chapter 2 Introductory Typical Examples
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   Chapter 3 Compactness and Extremal Principles
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   Chapter 4 Convexity and Extremal Principles
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   Chapter 5 Free Local Extrema of Differentiable Functionals and the Calculus of Variations
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   Chapter 6 Potential Operators
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   Chapter 7 Free Minima for Convex Functionals, Ritz Method and the Gradient Method
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   Chapter 8 Lagrange Multipliers and Eigenvalue Problems
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    Chapter 9 Ljusternik-Schnirelman Theory and the Existence of Several Eigenvectors
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    Chapter 10 Bifurcation for Potential Operators
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    Chapter 11 Differentiable Functionals on Convex Sets
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    Chapter 12 Convex Functionals on Convex Sets and Convex Analysis
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    Chapter 13 General Lagrange Multipliers (Dubovickii-Miljutin Theory)
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    Chapter 14 General Duality Principle by Means of Lagrange Functions and Their Saddle Points
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    Chapter 15 Duality and the Generalized Kuhn-Tucker Theory
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    Chapter 16 Duality, Conjugate Functionals, Monotone Operators and Elliptic Differential Equations
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    Chapter 17 General Duality Principle by Means of Perturbed Problems and Conjugate Functionals
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    Chapter 18 Conjugate Functionals and Orlicz Spaces
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    Chapter 19 Elliptic Variational Inequalities
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    Chapter 20 Evolution Variational Inequalities of First Order in H-Spaces
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    Chapter 21 Evolution Variational Inequalities of Second Order in H-Spaces
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    Chapter 22 Accretive Operators and Multivalued First-Order Evolution Equations in B-Spaces