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Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), Volume 105

Mariano Giaquinta

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Princeton University Press img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Mathematik

Beschreibung

A classic treatment of multiple integrals in the calculus of variations and nonlinear elliptic systems from the acclaimed Annals of Mathematics Studies series

Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century.

To mark the continued success of the series, all books are available in paperback and as ebooks.

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Schlagwörter

Variational inequality, Convex set, Linear equation, Coefficient, Corollary, Stationary point, Existential quantification, I0, Maximal function, Derivative, Metric space, Subset, David Hilbert, Semi-continuity, Obstacle problem, Singular solution, Minimal surface, First variation, Boundary value problem, Convex function, Partial derivative, Division by zero, Topology, Theorem, Analytic function, Subsequence, Generic property, Calculus of variations, Quantity, Dense set, Energy functional, Differential geometry, Sobolev space, Hausdorff dimension, Limit superior and limit inferior, Nonlinear system, Harmonic function, Euler equations (fluid dynamics), A priori estimate, Weak formulation, Differentiable function, Compact space, Weak solution, Ellipse, Hölder's inequality, Uniform convergence, Equation, Dirichlet problem, Multiple integral, Open set, Dirichlet integral, Special case, Harmonic map, Maxima and minima, Counterexample, Topological property, Estimation, Smoothness, Infimum and supremum