On coercive variational integrals
From MaRDI portal
Publication:515929
DOI10.1016/j.na.2016.09.011zbMath1361.49007OpenAlexW2529035619MaRDI QIDQ515929
Jan Kristensen, Chuei Yee Chen
Publication date: 17 March 2017
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://ora.ox.ac.uk/objects/uuid:fcfa67ba-95bd-46fa-9341-ea623611420b
Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for optimal control problems involving partial differential equations (49J20)
Related Items (11)
Quasiconvexity, null Lagrangians, and Hardy space integrability under constant rank constraints ⋮ Automatic quasiconvexity of homogeneous isotropic rank-one convex integrands ⋮ Partial regularity for \(\omega\)-minimizers of quasiconvex functionals ⋮ A sufficient and necessary condition for \(\mathcal{A}\)-quasiaffinity ⋮ Partial regularity for BV minimizers ⋮ A trace preserving operator and applications ⋮ Morse theory methods for a class of quasi-linear elliptic systems of higher order ⋮ Energy minimisers with prescribed Jacobian ⋮ \(\mathscr{A}\)-quasiconvexity and partial regularity ⋮ Extremal rank-one convex integrands and a conjecture of Šverák ⋮ Existence of minimisers of variational problems posed in spaces of mixed smoothness
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On rank one convex functions that are homogeneous of degree one
- On coercivity and regularity for linear elliptic systems
- Quasiconvexity and relaxation of nonconvex problems in the calculus of variations
- Relaxation of signed integral functionals in BV
- Regularity of minima: an invitation to the dark side of the calculus of variations.
- On the definition and the lower semicontinuity of certain quasiconvex integrals
- Characterizations of Young measures generated by gradients
- Lower semicontinuity of quasi-convex integrals in BV
- Lower semicontinuity in spaces of weakly differentiable functions
- Integral estimates for null Lagrangians
- Relaxation of multiple integrals below the growth exponent
- On various semiconvex hulls in the calculus of variations
- Conditions for equality of hulls in the calculus of variations
- Sharp stability results for almost conformal maps in even dimensions
- Quasiregular mappings in even dimensions
- Quasi-convessita e semicontinuita per integrali multipli di ordine superiore
- Coercivity of integrals versus coercivity of integrands
- Regularity of minimizers of \(W^{1,p}\)-quasiconvex variational integrals with \((p,q)\)-growth
- The singular set of minima of integral functionals
- Quasi-convexity and the lower semicontinuity of multiple integrals
- Nonlinear Cauchy-Riemann operators in ℝⁿ
- Dirichlet problem for demi-coercive functionals
- Weakly Differentiable Functions
- Quasi-Convex Integrands and Lower Semicontinuity in $L^1 $
- Weak minima of variational integrals.
- On growth conditions for quasiconvex integrands
- On a restricted weak lower semicontinuity for smooth functionals on Sobolev spaces
- Quasi-Convexity and Lower Semi-Continuity of Multiple Variational Integrals of Any Order
- Sobolev Spaces
- Semicontinuity problems in the calculus of variations
- Direct methods in the calculus of variations
- \(L^p\)-mean coercivity, regularity and relaxation in the calculus of variations
This page was built for publication: On coercive variational integrals