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Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130 : Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (AM-130) / / Andrea Ratto, James Eells
Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130 : Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (AM-130) / / Andrea Ratto, James Eells
Autore Eells James
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (235 pages) : illustrations
Disciplina 514/.7
Collana Annals of Mathematics Studies
Soggetto topico Harmonic maps
Immersions (Mathematics)
Differential equations, Elliptic - Numerical solutions
Soggetto non controllato Arc length
Catenary
Clifford algebra
Codimension
Coefficient
Compact space
Complex projective space
Connected sum
Constant curvature
Corollary
Covariant derivative
Curvature
Cylinder (geometry)
Degeneracy (mathematics)
Diagram (category theory)
Differential equation
Differential geometry
Elliptic partial differential equation
Embedding
Energy functional
Equation
Existence theorem
Existential quantification
Fiber bundle
Gauss map
Geometry and topology
Geometry
Gravitational field
Harmonic map
Hyperbola
Hyperplane
Hypersphere
Hypersurface
Integer
Iterative method
Levi-Civita connection
Lie group
Mathematics
Maximum principle
Mean curvature
Normal (geometry)
Numerical analysis
Open set
Ordinary differential equation
Parabola
Quadratic form
Sign (mathematics)
Special case
Stiefel manifold
Submanifold
Suggestion
Surface of revolution
Symmetry
Tangent bundle
Theorem
Vector bundle
Vector space
Vertical tangent
Winding number
ISBN 1-4008-8250-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- INTRODUCTION -- TABLE OF CONTENTS -- PART 1. BASIC VARIATIONAL AND GEOMETRICAL PROPERTIES -- PART 2. G-INVARIANT MINIMAL AND CONSTANT MEAN CURVATURE IMMERSIONS -- PART 3. HARMONIC MAPS BETWEEN SPHERES -- APPENDIX 1. SECOND VARIATIONS -- APPENDIX 2. RIEMANNIAN IMMERSIONS Sm → Sn -- APPENDIX 3. MINIMAL GRAPHS AND PENDENT DROPS -- APPENDIX 4. FURTHER ASPECTS OF PENDULUM TYPE EQUATIONS -- REFERENCES -- INDEX
Record Nr. UNINA-9910154754703321
Eells James  
Princeton, NJ : , : Princeton University Press, , [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