A classic treatment of multiple integrals in the calculus of variations and nonlinear elliptic systems from the acclaimed Annals of Mathematics Studies series

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Mariano Giaquinta

• Frontmatter,
• Contents,
• Preface,
• Chapter I: Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems,
• 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,