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Geometric measure theory and the calculus of variations / William K. Allard and Frederick J. Almgren, Jr., editors.
- Format:
- Book
- Conference/Event
- Author/Creator:
- Summer Institute on Geometric Measure Theory and the Calculus of Variations, Corporate Author.
- Conference Name:
- Summer Institute on Geometric Measure Theory and the Calculus of Variations (1984 : Humboldt State University), issuing body.
- Summer Institute on Geometric Measure Theory and the Calculus of Variations
- Series:
- Proceedings of symposia in pure mathematics ; volume 44.
- Proceedings of symposia in pure mathematics ; volume 44
- Language:
- English
- Subjects (All):
- Geometric measure theory.
- Physical Description:
- 1 online resource (482 p.)
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [1986]
- Language Note:
- English
- Summary:
- Includes twenty-six papers that survey a cross section of work in modern geometric measure theory and its applications in the calculus of variations. This title provides an access to the material, including introductions and summaries of many of the authors' much longer works and a section containing 80 open problems in the field.
- Contents:
- ""Index and total curvature of complete minimal surfaces""""The structure of stable minimal hypersurfaces near a singularity""; ""Some regularity results in plasticity""; ""Tangential regularity near the C[sup(1)]-boundary""; ""Solving Plateau's problem for hypersurfaces without the compactness theorem for integral currents""; ""Complex analytic geometry and measure theory""; ""Mean curvature contraction of convex hypersurfaces""; ""C[sup(1)],[sup(a)] multiple function regularity and tangent cone behaviour for varifolds with second fundamental form in LP""
- ""Pointwise pinched manifolds are space forms""""Deformation of Riemannian metrics and manifolds with bounded curvature ratios""; ""A regularity condition at the boundary for weak solutions of some nonlinear elliptic systems""; ""Solutions to the Navier-Stokes inequality with singularities on a Cantor set""; ""Asymptotic behaviour of minimal submanifolds and harmonic maps""; ""Complete catalog of minimizing embedded crystalline cones""; ""A regularity theorem for minimizing hypersurfaces modulo p""; ""Regularity of quasi-minima and obstacle problems""
- ""Some open problems in geometric measure theory and its applications suggested by participants of the 1984 AMS Summer Institute""
- Notes:
- "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 bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-9336-X
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