Standout Papers

Geometric Measure Theory 1996 2026 2006 2016 1.9k
  1. Geometric Measure Theory (1996)
    Herbert Fédérer CERN Document Server (European Organization for Nuclear Research)

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Existence theorem for a minimum problem with free discontinuity set
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Best constant in Sobolev inequality
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The Arithmetic of Elliptic Curves
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A boundary-value problem for Hamilton-Jacobi equations in hilbert spaces
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Paired calibrations applied to soap films, immiscible fluids, and surfaces or networks minimizing other norms
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Relaxation inBV versus quasiconvexification inW 1,p ; a model for the interaction between fracture and damage
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Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima
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Soap films and covering spaces
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Minimal rearrangements of Sobolev functions.
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Generalized Poincaré-Hopf Theorem for Compact Nonsmooth Regions
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The Navier-Stokes equations in space dimension four
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Pseudo holomorphic curves in symplectic manifolds
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A critical review of established methods of structural topology optimization
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Viscosity solutions of Hamilton-Jacobi equations
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Interior gradient bounds for the mean curvature equation by viscosity solutions methods
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Minimal Varieties in Riemannian Manifolds
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Photoacoustic imaging in biomedicine
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Variational problems in SBV and image segmentation
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On projection methods, convergence and robust formulations in topology optimization
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User’s guide to viscosity solutions of second order partial differential equations
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Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
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Generating optimal topologies in structural design using a homogenization method
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On the proof of the positive mass conjecture in general relativity
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Practical Issues in Structural Modeling
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Optimal shape design as a material distribution problem
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Quasi-conformal mappings inn-space and the rigidity of hyperbolic space forms
1968
The Surface Evolver
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The Cauchy problem for a nonlinear first order partial differential equation
1969
Topology and data
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Dissipative operators and hyperbolic systems of partial differential equations
1959
Regularity for a more general class of quasilinear elliptic equations
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THE SPACES $ BV$ AND QUASILINEAR EQUATIONS
1967
The Navier-Stokes equations on a bounded domain
1980
Higher eigenvalues and isoperimetric inequalities on Riemannian manifolds and graphs
2000
The structure of stationary one dimensional varifolds with positive density
1976
Thermodynamically consistent phase‐field models of fracture: Variational principles and multi‐field FE implementations
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Ergodic theory of chaos and strange attractors
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Existence theory for a new class of variational problems
1990
Determining a Function from Its Mean Values Over a Family of Spheres
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Quasiconformal maps in metric spaces with controlled geometry
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Harnack-type mass bounds and bernstein theorems for area-minimizing flat chains modulo v.
1986
An optimal design problem with perimeter penalization
1993
Definitions of quasiconformality
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Photoacoustic Tomography: In Vivo Imaging from Organelles to Organs
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Surfaces minimizing area plus length of singular curves
1994
A framework for the construction of level set methods for shape optimization and reconstruction
2003
Symmetrization of rings in space
1961
The gradient theory of phase transitions and the minimal interface criterion
1987
Partial regularity of suitable weak solutions of the navier‐stokes equations
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Spectral clustering based on local linear approximations
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Partial regularity of solutions to the Navier-Stokes equations
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Minimal surface forms
1982
Laplacian Eigenmaps for Dimensionality Reduction and Data Representation
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Structural optimization using sensitivity analysis and a level-set method
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AN ALGEBRAIC TOPOLOGICAL METHOD FOR FEATURE IDENTIFICATION
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Revisiting brittle fracture as an energy minimization problem
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Shape Recognition, Prairie Fires, Convex Deficiencies and Skeletons
1968
Quelques applications du théorème de densité de Chebotarev
1981
Discrete approximation of the Mumford-Shah functional in dimension two
1999
Existence of generalized equilibria
2001
Optimal approximations by piecewise smooth functions and associated variational problems
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Approximation of functional depending on jumps by elliptic functional via t‐convergence
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The Lp-integrability of the partial derivatives of A quasiconformal mapping
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A note on the isoperimetric constant
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A First-Order Primal-Dual Algorithm for Convex Problems with Applications to Imaging
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On the ricci curvature of a compact kähler manifold and the complex monge‐ampére equation, I
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Numerical experiments in revisited brittle fracture
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A variational method in image segmentation: Existence and approximation results
1992
A Model for the Quasi-Static Growth¶of Brittle Fractures:¶Existence and Approximation Results
2002
Optimal design and relaxation of variational problems, III
1986
One-parameter semigroups for linear evolution equations
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ON THE ASYMPTOTIC PROPERTIES OF SUBSOLUTIONS OF QUASILINEAR EQUATIONS OF ELLIPTIC TYPE AND MAPPINGS WITH BOUNDED DISTORTION
1981
An Explicit Link between Gaussian Fields and Gaussian Markov Random Fields: The Stochastic Partial Differential Equation Approach
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Nonlocal minimal surfaces
2010
Some mathematical questions related to the mhd equations
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A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits
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Works of Herbert Fédérer being referenced

Curvature measures
1959
Some theorems on integral currents
1965
Hausdorff Measure and Lebesgue Area
1951
Normal and Integral Currents
1960
A note on the Gauss-Green theorem
1958
Curvature Measures
1959
Colloquium lectures on geometric measure theory
1978
Geometric Measure Theory
1996 Standout
Real Flat Chains, Cochains and Variational Problems
1974
The Lebesgue Set of a Function whose Distribution Derivatives are p-th Power Summable
1972
1974
Measure and area
1952
The singular sets of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two with arbitrary codimension
1970
Two theorems in geometric measure theory
1966
Rankless by CCL
2026