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The Early Period of the Calculus of Variations / / by Paolo Freguglia, Mariano Giaquinta
The Early Period of the Calculus of Variations / / by Paolo Freguglia, Mariano Giaquinta
Autore Freguglia Paolo
Edizione [1st ed. 2016.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2016
Descrizione fisica 1 online resource (XII, 293 p. 59 illus.)
Disciplina 510.9
Soggetto topico Mathematics
History
Calculus of variations
History of Mathematical Sciences
Calculus of Variations and Optimal Control; Optimization
ISBN 3-319-38945-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface -- Some Introductory Material -- The Brachystochrone Problem: Johann and Jakob Bernoulli -- Isoperimetrical Problems: Jakob and Johann Bernoulli -- Shortest Lines and Geodesics -- Euler's Memoirs of 1738 and 1741 -- Euler's Method us Inveniendi -- Lagrange's δ-Calculus -- Bibliography -- Index of Names -- Subject Index.
Record Nr. UNINA-9910254098503321
Freguglia Paolo  
Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), Volume 105 / / Mariano Giaquinta
Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), Volume 105 / / Mariano Giaquinta
Autore Giaquinta Mariano
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (309 pages)
Disciplina 515/.64
Collana Annals of Mathematics Studies
Soggetto topico Calculus of variations
Multiple integrals
Differential equations, Elliptic
Soggetto non controllato A 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
ISBN 1-4008-8162-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 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 -- Backmatter
Record Nr. UNINA-9910154751703321
Giaquinta Mariano  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui