New lower semicontinuity results for polyconvex integrals
From MaRDI portal
Publication:1332701
DOI10.1007/BF01235534zbMath0810.49014OpenAlexW1985137980MaRDI QIDQ1332701
Gianni Dal Maso, Emilio Acerbi
Publication date: 2 April 1995
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01235534
Related Items
Lower semicontinuity of a class of multiple integrals below the growth exponent, Regularity of relaxed minimizers of quasiconvex variational integrals with \((p, q)\)-growth, \(\mathcal A\)-quasiconvexity: weak-star convergence and the gap, Lower semicontinuity of quasiconvex integrals, Strict convergence with equibounded area and minimal completely vertical liftings, A direct proof for lower semicontinuity of polyconvex functionals, Weak lower semicontinuity of polyconvex integrals: A borderline case, Relaxation of multiple integrals below the growth exponent, Remarks on the lower semicontinuity of quasiconvex integrals, Further remarks on the lower semicontinuity of polyconvex integrals, An Image Registration Model in Electron Backscatter Diffraction, Relaxation of an area-like functional for the function \(\frac{x}{|x|}\), Semicartesian surfaces and the relaxed area of maps from the plane to the plane with a line discontinuity, Unnamed Item, Graphs of finite mass which cannot be approximated by smooth graphs with equibounded area, Relaxation of multiple integral in subcritical Sobolev spaces, The relaxed area of 𝕊1-valued singular maps in the strict BV-convergence, Weak lower semicontinuity for polyconvex integrals in the limit case, Boundary regularity results for minimisers of convex functionals with \((p, q)\)-growth, Vector variational problem with knitting boundary conditions, Relaxed area of graphs of piecewise Lipschitz maps in the strict \(BV\)-convergence, Weak lower semicontinuity for non coercive polyconvex integrals, Lower semicontinuity for higher order integrals below the growth exponent, A new approach to Young measure theory, relaxation and convergence in energy, On the total variation of the Jacobian., Lower semicontinuity in Sobolev spaces below the growth exponent of the integrand, Lower semicontinuity for polyconvex integrals without coercivity assumptions, Simple proofs of some results of Reshetnyak, Nonlocal character of the reduced theory of thin films with higher order perturbations, The effective bulk energy of the relaxed energy of multiple integrals below the growth exponent, Lower semi-continuity for non-coercive polyconvex integrals in the limit case, On the area of the graph of a singular map from the plane to the plane taking three values, On the area of the graph of a piecewise smooth map from the plane to the plane with a curve discontinuity, On the curvature energy of Cartesian surfaces, Relaxation of convex functionals: the gap problem, On the relaxed area of the graph of discontinuous maps from the plane to the plane taking three values with no symmetry assumptions, Differential Inclusions and Young Measures Involving Prescribed Jacobians, Relaxation for optimal design problems with non-standard growth, Weak continuity and lower semicontinuity results for determinants
Cites Work
- Erratum and addendum to ``Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity
- \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
- Harmonic maps with defects
- Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity
- Convexity conditions and existence theorems in nonlinear elasticity
- Graphs of finite mass which cannot be approximated in area by smooth graphs
- The Gibbs-Thompson relation within the gradient theory of phase transitions
- Weak convergence of completely additive vector functions on a set
- Sublinear functions of measures and variational integrals
- Quasi-convexity and the lower semicontinuity of multiple integrals
- On the Definition and Properties of Certain Variational Integrals
- H = W
- Direct methods in the calculus of variations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
