On various semiconvex relaxations of the squared-distance function
From MaRDI portal
Publication:4935385
DOI10.1017/S0308210500019405zbMath0936.49009MaRDI QIDQ4935385
Publication date: 14 May 2000
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
integral functionalweak lower semicontinuityrelaxationspolyconvexquasiconvexsemiconvexrank-one convexEuclidean squared-distance function
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Methods involving semicontinuity and convergence; relaxation (49J45)
Related Items (6)
Compensated Convexity, Multiscale Medial Axis Maps and Sharp Regularity of the Squared-Distance Function ⋮ Helping you finding an appropriate regularization process ⋮ The Semiconvex Regularization of Functions ⋮ BMO and uniform estimates for multi-well problems ⋮ Compensated convexity and its applications ⋮ A polyconvex extension of the logarithmic Hencky strain energy
Cites Work
- Fine phase mixtures as minimizers of energy
- Equilibrium configurations of crystals
- Characterizations of Young measures generated by gradients
- The relaxation of a double-well energy
- Convexity conditions and existence theorems in nonlinear elasticity
- On the non-locality of quasiconvexity
- Quasiconvex functions, \(SO(n)\) and two elastic wells
- Lower semicontinuity of multiple integrals and the Biting Lemma
- Optimal design and relaxation of variational problems, I
- Rank-one convexity does not imply quasiconvexity
- Proposed experimental tests of a theory of fine microstructure and the two-well problem
- Restrictions on microstructure
- On non-negative quasiconvex functions with unbounded zero sets
- Semicontinuity problems in the calculus of variations
- Direct methods in the calculus of variations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On various semiconvex relaxations of the squared-distance function
