Geometric measure theory and the calculus of variations / [electronic resource] William K. Allard, Frederick J. Almgren, Jr., editors.

By: Summer Institute on Geometric Measure Theory and the Calculus of Variations (1984 : Humboldt State University)Contributor(s): Allard, William K, 1941- | Almgren, Frederick JMaterial type: TextTextSeries: Proceedings of symposia in pure mathematics ; v. 44Publication details: Providence, R.I. : American Mathematical Society, c1986Description: 1 online resource (xiv, 464 p. : ill.)ISBN: 9780821893364 (online)Subject(s): Geometric measure theoryAdditional physical formats: Geometric measure theory and the calculus of variations /DDC classification: 516.3/6 LOC classification: QA312 | .S95 1984Online resources: Contents | Contents
Contents:
An integrality theorem and a regularity theorem for surfaces whose first variation with respect to a parametric elliptic integrand is controlled / William K. Allard -- http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840267 Deformations and multiple-valued functions / F. Almgren -- http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840268 Local estimates for minimal submanifolds in dimensions greater than two / Michael T. Anderson -- http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840269 Second variation estimates for minimal orbits / John E. Brothers -- http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840270 Index theory for operator ranges and geometric measure theory / Richard W. Carey and Joel D. Pincus -- http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840271 MACSYMA and minimal surfaces / Paul Concus and Mario Miranda -- http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840272 Sur les cha�ines maximalement complexes de bord donn�e / Pierre Dolbeault -- http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840273 Index and total curvature of complete minimal surfaces / Robert Gulliver -- http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840274 The structure of stable minimal hypersurfaces near a singularity / Robert Gulliver and H. Blaine Lawson, Jr. -- http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840275 Some regularity results in plasticity / Robert M. Hardt and David Kinderlehrer -- http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840276 Tangential regularity near the $\mathcal {C}^1$-boundary / Robert M. Hardt and Fang-Hua Lin -- http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840277 Solving Plateau's problem for hypersurfaces without the compactness theorem for integral currents / Robert M. Hardt and Jon T. Pitts -- http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840278 Complex analytic geometry and measure theory / F. Reese Harvey and H. Blaine Lawson, Jr. -- http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840279 Mean curvature contraction of convex hypersurfaces / Gerhard Huisken -- http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840280 $C^{1,\alpha }$ multiple function regularity and tangent cone behaviour for varifolds with second fundamental form in $L^p$ / John E. Hutchinson -- http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840281 Pointwise pinched manifolds are space forms / Christophe Margerin -- http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840282 The multiplicity of generic projections of $n$-dimensional surfaces in $\mathbf {R}^{n+k}$ $(n+k\leq 4)$ / Dana Nance -- http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840283 Deformation of Riemannian metrics and manifolds with bounded curvature ratios / Seiki Nishikawa -- http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840284 A regularity condition at the boundary for weak solutions of some nonlinear elliptic systems / George Paulik -- http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840285 Solutions to the Navier-Stokes inequality with singularities on a Cantor set / Vladimir Scheffer -- http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840286 Asymptotic behaviour of minimal submanifolds and harmonic maps / Leon Simon -- http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840287 Complete catalog of minimizing embedded crystalline cones / Jean E. Taylor -- http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840288 Liouville theorems for stable harmonic maps into either strongly unstable, or $\delta $-pinched, manifolds / S. Walter Wei -- http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840289 A regularity theorem for minimizing hypersurfaces modulo $p$ / Brian White -- http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840290 Regularity of quasiminima and obstacle problems / William P. Ziemer -- http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840291
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"Proceedings of the Summer Institute on Geometric Measure Theory and the Calculus of Variations, held at Humboldt State University, Arcata, California, July 16-August 3, 1984"--T.p. verso.

Includes bibliographies.

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

http://www.ams.org/pspum/044

http://dx.doi.org/10.1090/pspum/044/840267

http://www.ams.org/pspum/044

http://dx.doi.org/10.1090/pspum/044/840268

http://www.ams.org/pspum/044

http://dx.doi.org/10.1090/pspum/044/840269

http://www.ams.org/pspum/044

http://dx.doi.org/10.1090/pspum/044/840270

http://www.ams.org/pspum/044

http://dx.doi.org/10.1090/pspum/044/840271

http://www.ams.org/pspum/044

http://dx.doi.org/10.1090/pspum/044/840272

http://www.ams.org/pspum/044

http://dx.doi.org/10.1090/pspum/044/840273

http://www.ams.org/pspum/044

http://dx.doi.org/10.1090/pspum/044/840274

http://www.ams.org/pspum/044

http://dx.doi.org/10.1090/pspum/044/840275

http://www.ams.org/pspum/044

http://dx.doi.org/10.1090/pspum/044/840276

http://www.ams.org/pspum/044

http://dx.doi.org/10.1090/pspum/044/840277

http://www.ams.org/pspum/044

http://dx.doi.org/10.1090/pspum/044/840278

http://www.ams.org/pspum/044

http://dx.doi.org/10.1090/pspum/044/840279

http://www.ams.org/pspum/044

http://dx.doi.org/10.1090/pspum/044/840280

http://www.ams.org/pspum/044

http://dx.doi.org/10.1090/pspum/044/840281

http://www.ams.org/pspum/044

http://dx.doi.org/10.1090/pspum/044/840282

http://www.ams.org/pspum/044

http://dx.doi.org/10.1090/pspum/044/840283

http://www.ams.org/pspum/044

http://dx.doi.org/10.1090/pspum/044/840284

http://www.ams.org/pspum/044

http://dx.doi.org/10.1090/pspum/044/840285

http://www.ams.org/pspum/044

http://dx.doi.org/10.1090/pspum/044/840286

http://www.ams.org/pspum/044

http://dx.doi.org/10.1090/pspum/044/840287

http://www.ams.org/pspum/044

http://dx.doi.org/10.1090/pspum/044/840288

http://www.ams.org/pspum/044

http://dx.doi.org/10.1090/pspum/044/840289

http://www.ams.org/pspum/044

http://dx.doi.org/10.1090/pspum/044/840290

http://www.ams.org/pspum/044

http://dx.doi.org/10.1090/pspum/044/840291

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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