Basic calculus of variations.
Edward Silverman
Source: Pacific J. Math. Volume 104, Number 2 (1983), 471-482.
Related Works:
Primary Subjects: 49A50
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102723676
Zentralblatt MATH identifier:
0515.49007
Mathematical Reviews number (MathSciNet):
MR684304
References
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MR57:14788
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0368.73040
[2] Lamberto Cesari, An existence theorem of calculus of variations on parametric surfaces, Amer. J. Math, 74 (1952), 265-295.
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MR14:292b
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0046.10901
[3] Lamberto Cesari, Surface Area, Princeton Press, 1956.
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MR17:596b
[4] Lamberto Cesari, A necessary and sufficient conditionfor lower semicontinuity, Bull. Amer. Math. Soc, 80 (1974), 467-472.
Mathematical Reviews (MathSciNet):
MR49:3635
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0287.49003
[5] C. B. Morrey, Jr., Quasi-convexity and the lower semicontinuity of multiple integrals, Pacific J. Math, 2 (1952), 25-53.
Mathematical Reviews (MathSciNet):
MR14:992a
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0046.10803
[6] C. B. Morrey, Multiple Integrals in the Calculus of Variations, Springer Verlag Vol. 130, 1966.
Mathematical Reviews (MathSciNet):
MR34:2380
Zentralblatt MATH:
0142.38701
[7] Edward Silverman, A sufficient condition for the lower semicontinuity of parametric integrals, Trans. Amer. Math. Soc, 167 (1972), 465-469.
Mathematical Reviews (MathSciNet):
MR45:5844
Zentralblatt MATH:
0241.49005
[8] Edward Silverman, Lower semicontinuity of parametric integrals, Trans. Amer. Math. Soc, 175 (1973), 499-508.
Mathematical Reviews (MathSciNet):
MR46:9842
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0264.49008
[9] Edward Silverman, Strong quasi-convexity, Pacific J. Math, 46 (1973), 549-554.
Mathematical Reviews (MathSciNet):
MR48:9488
Zentralblatt MATH:
0252.49005
[10] L. H. Turner, The direct method in the calculus of variations, Purdue Thesis, 1957.
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0080.04002
Pacific Journal of Mathematics
