Topic
Danskin's theorem
About: Danskin's theorem is a research topic. Over the lifetime, 3624 publications have been published within this topic receiving 67903 citations.
Papers published on a yearly basis
1 / 3
Papers
Book•
1 Jan 1992
TL;DR: In this article, the authors define and define elementary properties of BV functions, including the following: Sobolev Inequalities Compactness Capacity Quasicontinuity Precise Representations of Soboleve Functions Differentiability on Lines BV Function Differentiability and Structure Theorem Approximation and Compactness Traces Extensions Coarea Formula for BV Functions isoperimetric inequalities The Reduced Boundary The Measure Theoretic Boundary Gauss-Green Theorem Pointwise Properties this article.
Abstract: GENERAL MEASURE THEORY Measures and Measurable Functions Lusin's and Egoroff's Theorems Integrals and Limit Theorems Product Measures, Fubini's Theorem, Lebesgue Measure Covering Theorems Differentiation of Radon Measures Lebesgue Points Approximate continuity Riesz Representation Theorem Weak Convergence and Compactness for Radon Measures HAUSDORFF MEASURE Definitions and Elementary Properties Hausdorff Dimension Isodiametric Inequality Densities Hausdorff Measure and Elementary Properties of Functions AREA AND COAREA FORMULAS Lipschitz Functions, Rademacher's Theorem Linear Maps and Jacobians The Area Formula The Coarea Formula SOBOLEV FUNCTIONS Definitions And Elementary Properties Approximation Traces Extensions Sobolev Inequalities Compactness Capacity Quasicontinuity Precise Representations of Sobolev Functions Differentiability on Lines BV FUNCTIONS AND SETS OF FINITE PERIMETER Definitions and Structure Theorem Approximation and Compactness Traces Extensions Coarea Formula for BV Functions Isoperimetric Inequalities The Reduced Boundary The Measure Theoretic Boundary Gauss-Green Theorem Pointwise Properties of BV Functions Essential Variation on Lines A Criterion for Finite Perimeter DIFFERENTIABILITY AND APPROXIMATION BY C1 FUNCTIONS Lp Differentiability ae Approximate Differentiability Differentiability AE for W1,P (P > N) Convex Functions Second Derivatives ae for convex functions Whitney's Extension Theorem Approximation by C1 Functions NOTATION REFERENCES
6,791 citations
Book•
1 Jan 2000TL;DR: In this paper, the Karush-Kuhn-Tucker Theorem and Fenchel duality were used for infinite versus finite dimensions, with a list of results and notation.
Abstract: Background * Inequality constraints * Fenchel duality * Convex analysis * Special cases * Nonsmooth optimization * The Karush-Kuhn-Tucker Theorem * Fixed points * Postscript: infinite versus finite dimensions * List of results and notation.
1,523 citations
1,480 citations
TL;DR: In this paper, the authors use the Shephard duality theorem to obtain a system of derived demand equations which are linear in the technological parameters, thus facilitating econometric estimation.
Abstract: The paper indicates how the Shephard duality theorem may be utilized in order to obtain a system of derived demand equations which are linear in the technological parameters, thus facilitating econometric estimation. This theorem states that technology may be equivalently represented by either a production function or a cost function, and a proof of the theorem is given. The chosen functional form is a quadratic form in the square roots of input prices and is a generalization of the Leontief cost function. The generalization has the property that it can attain any set of partial elasticities of substitution using a minimal number of parameters.
1,234 citations
1 Jan 1952
TL;DR: In this article, it was shown that Kakutani's fixed point theorem may be extended to convex linear topological spaces and implies the minimax theorem for continuous games with continuous payoff and the existence of Nash equilibrium points.
Abstract: : Kakutani's Fixed Point Theorem states that in Euclidean n-space a closed point to (non-void) convex set map of a convex compact set into itself has a fixed point. Kakutani showed that this implied the minimax theorem for finite games. The object of this note is to point out that Kakutani's theorem may be extended to convex linear topological spaces, and implies the minimax theorem for continuous games with continuous payoff as well as the existence of Nash equilibrium points.
1,196 citations
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| Year | Papers |
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| 2025 | 6 |
| 2024 | 2 |
| 2023 | 3 |
| 2022 | 11 |
| 2020 | 1 |
| 2019 | 4 |