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On a fundamental theorem of the calculus of variations

James Serrin

Acta Mathematica · 1959 · 19 citations · 7 references

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Abstract

Consider the simplest kind of multiple integral variational problem, that of minimizing an integral I [u] of the form

References

7

On Equations of Minimal Surface Type

Robert Finn · Annals of Mathematics · 1954 · 100 citations

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PARABOLIC EQUATIONS

John C. Nash · Proceedings of the National Academy of Sciences · 1957 · 61 citations · Full text

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On the Semi-Continuity of Double Integrals in the Calculus of Variations

E. J. McShane · Annals of Mathematics · 1932 · 28 citations

, , +8

Sufficient Conditions for Multiple Integral Problems in the Calculus of Variations

Magnus R. Hestenes · American Journal of Mathematics · 1948 · 25 citations

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Differentiability and Analyticity of Solutions of Double Integral Variational Problems

Max Shiffman · Annals of Mathematics · 1947 · 17 citations

, , +9