Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems

, by Giaquinta, Mariano

Write a Review

Note: Supplemental materials are not guaranteed with Rental or Used book purchases.

ISBN: 9780691083315 | 0691083312
Cover: Paperback
Copyright: 11/1/1983

Buy New

Print on Demand: 2-4 Weeks. This item cannot be cancelled or returned.

$98.85
eBook

Available Instantly

Online: 1825 Days

Downloadable: Lifetime Access

*To support the delivery of the digital material to you, a digital delivery fee of $3.99 will be charged on each digital item.

$132.00*

Supplemental Materials

Preface

vii

Introduction

(3)

Multiple Integrals in the Calculus of Variations: Semicontinuity, Existence and Differentiability

(37)

Multiple integrals: first and second variation

(9)

Semicontinuity theorems

(11)

An existence theorem

(6)

The direct methods in the calculus of variations

(3)

On the differentiability of regular integrals: weak solutions to the Euler equations

(8)

An Introduction to the Regularity Problem

(21)

Reduction to quasilinear and linear systems

(8)

A very brief historical note

(3)

The vector valued case: some counterexamples to the regularity

(10)

Linear Systems: The Regularity Theory

(26)

An integral characterization of Holder continuous functions

(11)

Linear systems with constant coefficients

(12)

Linear systems with continuous coefficients

(3)

Systems in Variation: The Indirect Approach to the Regularity

(29)

Quasilinear systems: almost everywhere regularity

(7)

The singular set

(9)

More on the regular and singular points

107

(6)

Systems in variation (controllable growth conditions): regularity results

113

(6)

Reverse Holder Inequalities and Lp-Estimates

119

(46)

Reverse Holder inequalities and higher integrability

120

(16)

Lp -estimates for solutions of nonlinear elliptic systems

136

(22)

An Lp-estimate for minimum points of non-differentiable functionals

158

(7)

Nonlinear Elliptic Systems: The Direct Approach to Regularity

165

(48)

Quasilinear systems: C0, a and C1, a regularity

165

(23)

Nonlinear systems: C1, a regularity

188

(17)

Minima of quadratic multiple integrals: N ≥ 1

205

(8)

Nonlinear Elliptic Systems: Special Structures and Everywhere Regularity

213

(28)

Single equations

213

(11)

Minima of variational integrals: N = 1

224

(8)

Systems of diagonal form

232

(5)

Functionals depending on the modulus of the gradient

237

(4)

A Few Remarks and Extensions

241

(7)

A few extensions

241

(5)

Boundary regularity

246

(2)

Direct Methods for the Regularity

248

(30)

Quasi-minima

249

(6)

Quasi-minima and quasi-convexity

255

(3)

The singular set of minima of a class of quadratic functionals

258

(9)

C1, a -regularity of minima

267

(11)

References

278

Please wait while the item is added to your bag...

FREE SHIPPING

Rent More, Save More! Use code: BBRENTAL

5% off 1 book, 7% off 2 books, 10% off 3+ books

Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems

Table of Contents

Supplemental Materials

FREE SHIPPING

Rent More, Save More! Use code: BBRENTAL

5% off 1 book, 7% off 2 books, 10% off 3+ books

Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems

Table of Contents

Supplemental Materials

Digital License