Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

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

 
 

 

Index theory for singular quadratic functionals in the calculus of variations


Author: Junior Stein
Journal: Bull. Amer. Math. Soc. 79 (1973), 1189-1192
MSC (1970): Primary 49B10, 34C10; Secondary 58E99
DOI: https://doi.org/10.1090/S0002-9904-1973-13373-7
MathSciNet review: 0328726
Full-text PDF

References | Similar Articles | Additional Information

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

  • 1. J. O. Chellevold, Conjugate points of singular quadratic Junctionals for n dependent variables, Proc. Iowa Acad. Sci. 59 (1952), 331-337. MR 14, 769. MR 53406
  • 2. G. H. Hardy, J. E. Littlewood and G. Pólya, Inequalities, Cambridge Univ. Press, New York, 1934.
  • 3. M. R. Hestenes, Applications of the theory of quadratic forms in Hilbert space to the calculus of variations, Pacific J. Math. 1 (1951), 525-581. MR 13, 759. MR 46590
  • 4. M. R. Hestenes, Quadratic form theory and analysis, Lecture Notes, Math. Dept. Reading Room, University of California, Los Angeles, Calif., 1967.
  • 5. Marston Morse and Walter Leighton, Singular quadratic functionals, Trans. Amer. Math. Soc. 40 (1936), no. 2, 252–286. MR 1501873, https://doi.org/10.1090/S0002-9947-1936-1501873-7
  • 6. J. Stein, Singular quadratic functionals, Dissertation, University of California, Los Angeles, Calif., 1971.
  • 7. E. C. Tomastik, Singular quadratic functionals of n dependent variables, Trans. Amer. Math. Soc. 124 (1966), 60-76. MR 33 #4743. MR 196556

Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1970): 49B10, 34C10, 58E99

Retrieve articles in all journals with MSC (1970): 49B10, 34C10, 58E99


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1973-13373-7

American Mathematical Society