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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
Seminar on minimal submanifolds / / edited by Enrico Bombieri
Seminar on minimal submanifolds / / edited by Enrico Bombieri
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , 1983
Descrizione fisica 1 online resource (368 pages) : illustrations
Disciplina 516.3/6
Collana Annals of mathematics studies
Soggetto topico Minimal submanifolds
Soggetto non controllato A priori estimate
Analytic function
Banach space
Boundary (topology)
Boundary value problem
Bounded set (topological vector space)
Branch point
Cauchy–Riemann equations
Center manifold
Closed geodesic
Codimension
Coefficient
Cohomology
Compactness theorem
Comparison theorem
Configuration space
Conformal geometry
Conformal group
Conformal map
Continuous function
Cross product
Curve
Degeneracy (mathematics)
Diffeomorphism
Differential form
Dirac operator
Discrete group
Divergence theorem
Eigenvalues and eigenvectors
Elementary proof
Equation
Existence theorem
Existential quantification
Exterior derivative
First variation
Free boundary problem
Fundamental group
Gauss map
Geodesic
Geometry
Group action
Hamiltonian mechanics
Harmonic function
Harmonic map
Hausdorff dimension
Hausdorff measure
Homotopy group
Homotopy
Hurewicz theorem
Hyperbolic 3-manifold
Hyperbolic manifold
Hyperbolic space
Hypersurface
Implicit function theorem
Infimum and supremum
Injective function
Inner automorphism
Isolated singularity
Isometry group
Isoperimetric problem
Klein bottle
Kleinian group
Limit set
Lipschitz continuity
Mapping class group
Maxima and minima
Maximum principle
Minimal surface of revolution
Minimal surface
Monotonic function
Möbius transformation
Norm (mathematics)
Orthonormal basis
Parametric surface
Periodic function
Poincaré conjecture
Projection (linear algebra)
Regularity theorem
Riemann surface
Riemannian manifold
Schwarz reflection principle
Second fundamental form
Semi-continuity
Simply connected space
Special case
Stein's lemma
Subalgebra
Subgroup
Submanifold
Subsequence
Support (mathematics)
Symplectic manifold
Tangent space
Teichmüller space
Theorem
Trace (linear algebra)
Uniformization
Uniqueness theorem
Variational principle
Yamabe problem
ISBN 1-4008-8143-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- CONTENTS -- INTRODUCTION -- SURVEY LECTURES ON MINIMAL SUBMANIFOLDS -- ON THE EXISTENCE OF SHORT CLOSED GEODESICS AND THEIR STABILITY PROPERTIES -- EXISTENCE OF PERIODIC MOTIONS OF CONSERVATIVE SYSTEMS -- ARE HARMONICALLY IMMERSED SURFACES AT ALL LIKE MINIMALLY IMMERSED SURFACES? -- ESTIMATES FOR STABLE MINIMAL SURFACE S IN THREE DIMENSIONAL MANIFOLDS -- REGULARITY OF SIMPLY CONNECTED SURFACES WITH QUASICONFORMAL GAUSS MAP -- CLOSED MINIMAL SURFACES IN H Y PER BOLIC 3-MANIFOLDS -- MINIMAL SPHERES AND OTHER CONFORMAL VARIATIONAL PROBLEMS -- MINIMAL HYPERSURFACES OF SPHERES WITH CONS TANT SCALAR CURVATURE -- REGULAR MINIMAL HY PERSURF ACES EXIST ON MANIFOLDS IN DIMENSIONS UP TO SIX -- AFFINE MINIMAL SURFACES -- THE MINIMAL VARIETIES ASSOCIATED TO A CLOSED FORM -- NECESSARY CONDITIONS FOR SUBMANIFOLDS AND CURRENTS WITH PRESCRIBED MEAN CURVATURE VECTOR -- APPROXIMATION OF RECTIFIABLE CURRENTS BY LIPSCHITZ Q VALUED FUNCTIONS -- SIMPLE CLOSED GEODESICS ON OVALOIDS AND THE CALCULUS OF VARIATIONS -- ON THE GEHRING LINK PROBLEM -- CONSTRUCTING CRYSTALLIN E MINIMAL SURFACES -- REGULARITY OF AREA-MINIMIZING HYPERSURFACES AT BOUNDARIES WITH MULTIPLICITY -- NEW METHODS IN THE STUDY OF FREE BOUNDARY PROBLEMS -- SOME PROPERTIES OF CAPILLARY FREE SURFACE -- BERNSTEIN CONJECTURE IN HYPERBOLIC GEOMETRY -- Backmatter
Record Nr. UNINA-9910154753403321
Princeton, NJ : , : Princeton University Press, , 1983
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Surface Area. (AM-35), Volume 35 / / Lamberto Cesari
Surface Area. (AM-35), Volume 35 / / Lamberto Cesari
Autore Cesari Lamberto
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (612 pages) : illustrations
Disciplina 516.36
Collana Annals of Mathematics Studies
Soggetto topico Surfaces
Soggetto non controllato Absolute continuity
Addition
Admissible set
Arc length
Axiom
Axiomatic system
Bearing (navigation)
Bounded variation
Calculus of variations
Circumference
Compact space
Complex analysis
Concentric
Connected space
Continuous function (set theory)
Continuous function
Corollary
Countable set
Covering set
Curve
Derivative
Diameter
Differentiable function
Differential geometry
Direct proof
Dirichlet integral
Disjoint sets
Empty set
Equation
Equicontinuity
Existence theorem
Existential quantification
Function (mathematics)
Functional analysis
Geometry
Hausdorff measure
Homeomorphism
Homotopy
Infimum and supremum
Integral geometry
Intersection number (graph theory)
Interval (mathematics)
Iterative method
Jacobian
Lebesgue integration
Lebesgue measure
Limit (mathematics)
Limit point
Limit superior and limit inferior
Linearity
Line–line intersection
Locally compact space
Mathematician
Mathematics
Measure (mathematics)
Metric space
Morphism
Natural number
Nonparametric statistics
Orientability
Parameter
Parametric equation
Parametric surface
Partial derivative
Potential theory
Radon–Nikodym theorem
Representation theorem
Representation theory
Right angle
Semi-continuity
Set function
Set theory
Sign (mathematics)
Smoothness
Space-filling curve
Subset
Summation
Surface area
Tangent space
Theorem
Topological space
Topology
Total order
Total variation
Uniform convergence
Unit square
ISBN 1-4008-8232-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- CHAPTER I. INTRODUCTORY- CONSIDERATIONS -- CHAPTER II. LEBESGUE AREA -- CHAPTER III. THE GEÖCZE AREAS V AND U AND THE PEANO AREA P -- CHAPTER IV. BV AND AC PLANE MAPPINGS -- CHAPTER V. THE FIRST THEOREM -- CHAPTER VI. THE CAVALIERI INEQUALITY -- CHAPTER VII. IDENTIFICATION OF LEBESGUE, GEÖCZE, PEANO AREAS -- CHAPTER VIII. GEOMETRICAL PROPERTIES AND THE SECOND THEOREM -- CHAPTER IX. THE REPRESENTATION PROBLEM -- CHAPTER X. THE REPRESENTATION OF GENERAL SURFACES AND THE THIRD THEOREM -- APPENDIX A. A DIRECT PROOF OF A PROPERTY OF CONTINUOUS SURFACES -- APPENDIX B. WEIERSTRASS INTEGRAL OVER A SURFACE -- BIBLIOGRAPHY -- SPECIAL SIGNS AND ABBREVIATIONS -- Backmatter
Record Nr. UNINA-9910154743203321
Cesari Lamberto  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui