Compensated convexity and its applications
From MaRDI portal
Publication:935274
DOI10.1016/j.anihpc.2007.08.001zbMath1220.26011OpenAlexW2014718373MaRDI QIDQ935274
Publication date: 6 August 2008
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/78810
convex functionsquasi-convexityconvex envelopeMoreau envelopemaximum function\(C^{1, 1}\)-smoothingsquared-distance functionstight approximationweak lower semi-continuous functions
Nonsmooth analysis (49J52) Convex functions and convex programs in convex geometry (52A41) Convexity of real functions of several variables, generalizations (26B25)
Related Items (14)
Numerical evidence towards a positive answer to Morrey's problem ⋮ Compensated Convexity, Multiscale Medial Axis Maps and Sharp Regularity of the Squared-Distance Function ⋮ Helping you finding an appropriate regularization process ⋮ Compensated Convexity Methods for Approximations and Interpolations of Sampled Functions in Euclidean Spaces: Theoretical Foundations ⋮ Unnamed Item ⋮ The Semiconvex Regularization of Functions ⋮ A Proximal Average for Prox-Bounded Functions ⋮ Some computable quasiconvex multiwell models in linear subspaces without rank-one matrices ⋮ Compensated convexity on bounded domains, mixed Moreau envelopes and computational methods ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Compensated Convexity Methods for Approximations and Interpolations of Sampled Functions in Euclidean Spaces: Applications to Contour Lines, Sparse Data, and Inpainting ⋮ Compensated convexity and Hausdorff stable geometric singularity extractions ⋮ Compensated convexity and Hausdorff stable extraction of intersections for smooth manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Smooth minimization of non-smooth functions
- Approximation and regularization of arbitrary functions in Hilbert spaces by the Lasry-Lions method
- Solving continuous min-max problems by an iterative entropic regularization method.
- Energy minimizers in nonlinear elastostatics and the implicit function theorem
- Fine phase mixtures as minimizers of energy
- A remark on regularization in Hilbert spaces
- Enlarging the region of convergence of Newton's method for constrained optimization
- Convexity conditions and existence theorems in nonlinear elasticity
- On various semiconvex hulls in the calculus of variations
- On separation of gradient Young measures
- Smooth convex approximation to the maximum eigenvalue function
- Mathematical theory of medial axis transform
- Regularity of quasiconvex envelopes
- Hamilton-Jacobi equations and distance functions on Riemannian manifolds
- Characterization of the subdifferentials of convex functions
- Differentiability of convex envelopes
- Maximal extension for linear spaces of real matrices with large rank
- Bounds and extremal microstructures for two-component composites: a unified treatment based on the translation method
- On the Smoothness of Convex Envelopes
- Optimal use of the translation method and relaxations of variational problems
- Exact estimates of conductivity of composites formed by two isotropically conducting media taken in prescribed proportion
- ELASTIC MATERIALS WITH TWO PREFERRED STATES
- The initial‐value problem for measure‐valued solutions of a canonical 2 × 2 system with linearly degenerate fields
- Proposed experimental tests of a theory of fine microstructure and the two-well problem
- Restrictions on microstructure
- On characterizing the set of possible effective tensors of composites: The variational method and the translation method
- What is the Subdifferential of the Closed Convex Hull of a Function?
- Bounds on the effective conductivity of two-dimensional composites made of n ≧ 3 isotropic phases in prescribed volume fraction: the weighted translation method
- On various semiconvex relaxations of the squared-distance function
- Penalty and Barrier Methods: A Unified Framework
- Minimax Theorems and Conjugate Saddle-Functions.
- Proximité et dualité dans un espace hilbertien
- Semicontinuity problems in the calculus of variations
- Direct methods in the calculus of variations
- A two-well structure and intrinsic mountain pass points
This page was built for publication: Compensated convexity and its applications