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Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints

About this Title

F. J. Almgren, Jr.

Publication: Memoirs of the American Mathematical Society
Publication Year: 1976; Volume 4, Number 165
ISBNs: 978-0-8218-1865-7 (print); 978-1-4704-0677-6 (online)
DOI: https://doi.org/10.1090/memo/0165
MathSciNet review: 0420406

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Table of Contents

Chapters

  • I. Varifold slices and certain piecewise smooth mappings
  • II. $(\gamma ,\delta )$ restricted sets
  • III. $(F,\varepsilon ,\delta )$ minimal sets
  • IV. Regularity of $(F,\varepsilon ,\delta )$ minimal sets
  • V. The basic inequality related to the regularity of $(F,\varepsilon ,\delta )$ minimal sets
  • VI. Existence and regularity almost everywhere $(F,\sigma ,a)$ minimal partitions of $R^n$