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# Geometric Measure Theory and the Calculus of Variations

### About this Title

**William K. Allard** and **Frederick J. Almgren Jr.**, Editors

Publication: Proceedings of Symposia in Pure Mathematics

Publication Year:
1986; Volume 44

ISBNs: 978-0-8218-1470-3 (print); 978-0-8218-9336-4 (online)

DOI: https://doi.org/10.1090/pspum/044

### Table of Contents

**Download chapters as PDF**

**Front/Back Matter**

**Articles**

- William K. Allard – An integrality theorem and a regularity theorem for surfaces whose first variation with respect to a parametric elliptic integrand is controlled [MR 840267]
- F. Almgren – Deformations and multiple-valued functions [MR 840268]
- Michael T. Anderson – Local estimates for minimal submanifolds in dimensions greater than two [MR 840269]
- John E. Brothers – Second variation estimates for minimal orbits [MR 840270]
- Richard W. Carey and Joel D. Pincus – Index theory for operator ranges and geometric measure theory [MR 840271]
- Paul Concus and Mario Miranda – MACSYMA and minimal surfaces [MR 840272]
- Pierre Dolbeault – Sur les chaînes maximalement complexes de bord donné [MR 840273]
- Robert Gulliver – Index and total curvature of complete minimal surfaces [MR 840274]
- Robert Gulliver and H. Blaine Lawson, Jr. – The structure of stable minimal hypersurfaces near a singularity [MR 840275]
- Robert M. Hardt and David Kinderlehrer – Some regularity results in plasticity [MR 840276]
- Robert M. Hardt and Fang-Hua Lin – Tangential regularity near the $\mathcal {C}^1$-boundary [MR 840277]
- Robert M. Hardt and Jon T. Pitts – Solving Plateau’s problem for hypersurfaces without the compactness theorem for integral currents [MR 840278]
- F. Reese Harvey and H. Blaine Lawson, Jr. – Complex analytic geometry and measure theory [MR 840279]
- Gerhard Huisken – Mean curvature contraction of convex hypersurfaces [MR 840280]
- John E. Hutchinson – $C^{1,\alpha }$ multiple function regularity and tangent cone behaviour for varifolds with second fundamental form in $L^p$ [MR 840281]
- Christophe Margerin – Pointwise pinched manifolds are space forms [MR 840282]
- Dana Nance – The multiplicity of generic projections of $n$-dimensional surfaces in $\mathbf {R}^{n+k}$ $(n+k\leq 4)$ [MR 840283]
- Seiki Nishikawa – Deformation of Riemannian metrics and manifolds with bounded curvature ratios [MR 840284]
- George Paulik – A regularity condition at the boundary for weak solutions of some nonlinear elliptic systems [MR 840285]
- Vladimir Scheffer – Solutions to the Navier-Stokes inequality with singularities on a Cantor set [MR 840286]
- Leon Simon – Asymptotic behaviour of minimal submanifolds and harmonic maps [MR 840287]
- Jean E. Taylor – Complete catalog of minimizing embedded crystalline cones [MR 840288]
- S. Walter Wei – Liouville theorems for stable harmonic maps into either strongly unstable, or $\delta$-pinched, manifolds [MR 840289]
- Brian White – A regularity theorem for minimizing hypersurfaces modulo $p$ [MR 840290]
- William P. Ziemer – Regularity of quasiminima and obstacle problems [MR 840291]
- Edited by John E. Brothers – Some open problems in geometric measure theory and its applications suggested by participants of the 1984 AMS summer institute [MR 840292]