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The description for this book, Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), Volume 105, will be forthcoming.

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