On the First and Second Variation of a Parametric Integral

DOI10.2307/2374342zbMath0529.49020OpenAlexW2328247020MaRDI QIDQ3311204

William K. Allard

Publication date: 1983

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374342

zbMATH Keywords

stable hypersurfacessmooth parametric integrand

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Integration on manifolds; measures on manifolds (58C35) Length, area, volume, other geometric measure theory (28A75) Set functions and measures on spaces with additional structure (28C99)

Related Items (1)

An a priori estimate for the oscillation of the normal to a hypersurface whose first and second variation with respect to an elliptic integrand is controlled

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