Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems

*Frontmatter, pg. i*Contents, pg. v*Preface, pg. vii*Chapter I: Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems, pg. 1*Chapter II: An Introduction to the Regularity Problem, pg. 43*Chapter III: Linear Systems: The Regularity Theory, pg. 64*Chapter IV: Systems in Variation: The Indirect Approach to the Regularity, pg. 90*Chapter V: Reverse Holder Inequalities And LP-Estimates, pg. 119*Chapter VI: Nonlinear Elliptic Systems: The Direct Approach to Regularity, pg. 165*Chapter VII: Nonlinear Elliptic Systems: Special Structures and Everywhere Regularity, pg. 213*Chapter VIII: A Few Remarks and Extensions, pg. 241*Chapter IX: Direct Methods for the Regularity, pg. 248*References, pg. 278*Backmatter, pg. 297