04600nam 22012375 450 991015475170332120190708092533.01-4008-8162-510.1515/9781400881628(CKB)3710000000620156(MiAaPQ)EBC4738542(DE-B1597)467944(OCoLC)979633636(DE-B1597)9781400881628(EXLCZ)99371000000062015620190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierMultiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), Volume 105 /Mariano GiaquintaPrinceton, NJ : Princeton University Press, [2016]©19841 online resource (309 pages)Annals of Mathematics Studies ;2630-691-08330-4 0-691-08331-2 Includes bibliographical references.Frontmatter -- Contents -- Preface / Giaquinta, Mariano -- Chapter I: Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems / Giaquinta, Mariano -- Chapter II: An Introduction to the Regularity Problem -- Chapter III: Linear Systems: The Regularity Theory -- Chapter IV: Systems in Variation: The Indirect Approach to the Regularity -- Chapter V: Reverse Holder Inequalities And LP-Estimates -- Chapter VI: Nonlinear Elliptic Systems: The Direct Approach to Regularity -- Chapter VII: Nonlinear Elliptic Systems: Special Structures and Everywhere Regularity -- Chapter VIII: A Few Remarks and Extensions -- Chapter IX: Direct Methods for the Regularity -- References -- BackmatterThe description for this book, Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), Volume 105, will be forthcoming.Annals of mathematics studies ;Number 105.Calculus of variationsMultiple integralsDifferential equations, EllipticA priori estimate.Analytic function.Boundary value problem.Calculus of variations.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.Calculus of variations.Multiple integrals.Differential equations, Elliptic.515/.64Giaquinta Mariano, 42383Giaquinta Mariano, ctbhttps://id.loc.gov/vocabulary/relators/ctbDE-B1597DE-B1597BOOK9910154751703321Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), Volume 1052788683UNINA