Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 
 

 

Transformations by functions in Sobolev spaces and lower semicontinuity for parametric variational problems


Authors: M. Marcus and V. J. Mizel
Journal: Bull. Amer. Math. Soc. 79 (1973), 790-795
MSC (1970): Primary 28A75, 49F22; Secondary 26A57, 49F25, 46E35
DOI: https://doi.org/10.1090/S0002-9904-1973-13319-1
MathSciNet review: 0322651
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. A. S. Besicovitch, Parametric surfaces, Bull. Amer. Math. Soc. 56 (1950), 288-296. MR 12, 168. MR 36825
  • 2. A. P. Calderón, On the differentiability of absolutely continuous functions, Riv. Mat. Univ. Parma 2 (1951), 203-213. MR 13, 544. MR 45200
  • 3. H. Federer, Geometric measure theory, Die Grundlehren der Math. Wissenschaften, Band 153, Springer-Verlag, New York, 1969. MR 41 # 1976. MR 257325
  • 4. E. Gagliardo, Proprietà di alcune classi di funzioni in più variabili, Ricerche Mat. 7 (1958), 102-137. MR 21 # 1526. MR 102740
  • 5. E. J. McShane, On the semi-continuity of double integrals in the calculus of variations, Ann. of Math. 33 (1932), 460-484. MR 1503070
  • 6. C. B. Morrey, Functions of several variables and absolute continuity. II, Duke Math. J. 6 (1940), 187-215. MR 1, 209. MR 1279
  • 7. C. B. Morrey, Multiple integrals in the calculus of variations, Die Grundlehren der Math. Wissenschaften, Band 130, Springer-Verlag, 1966. MR 34 # 2380. MR 202511
  • 8. T. Rado and P. V. Reichelderfer, Continuous transformations in analysis. With an introduction to algebraic topology, Die Grundlehren der Math. Wissenschaften, Band 75, Springer-Verlag, 1955. MR 18, 115. MR 79620
  • 9. J. Serrin, On the definitions and properties of certain variational integrals, Trans. Amer. Math. Soc. 101 (1961), 139-167. MR 25 # 1466. MR 138018

Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1970): 28A75, 49F22, 26A57, 49F25, 46E35

Retrieve articles in all journals with MSC (1970): 28A75, 49F22, 26A57, 49F25, 46E35


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1973-13319-1

American Mathematical Society