Lower semicontinuity for higher order integrals below the growth exponent
From MaRDI portal
Publication:636839
DOI10.1007/s00229-011-0434-0zbMath1221.49021OpenAlexW1978345507MaRDI QIDQ636839
Publication date: 30 August 2011
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00229-011-0434-0
Regularity of solutions in optimal control (49N60) Methods involving semicontinuity and convergence; relaxation (49J45) Miscellaneous topics in calculus of variations and optimal control (49N99)
Cites Work
- Unnamed Item
- Unnamed Item
- Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals
- On the definition and the lower semicontinuity of certain quasiconvex integrals
- Relaxation of multiple integral in subcritical Sobolev spaces
- Weak continuity and weak lower semi-continuity of non-linear functionals
- Lower semicontinuity of quasi-convex integrals in BV
- Domain branching in uniaxial ferromagnets: A scaling law for the minimum energy
- Energy minimizers for large ferromagnetic bodies
- New lower semicontinuity results for polyconvex integrals
- Lower semicontinuity of quasiconvex integrals
- Relaxation of multiple integrals below the growth exponent
- Lower semicontinuity of a class of multiple integrals below the growth exponent
- Relaxation results for higher order integrals below the natural growth exponent
- Higher-order quasiconvexity reduces to quasiconvexity
- \(\mathcal A\)-quasiconvexity: weak-star convergence and the gap
- A direct proof for lower semicontinuity of polyconvex functionals
- Further remarks on the lower semicontinuity of polyconvex integrals
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- The effective bulk energy of the relaxed energy of multiple integrals below the growth exponent
- Weakly Differentiable Functions
- Quasi-Convex Integrands and Lower Semicontinuity in $L^1 $
- Weak lower semicontinuity of polyconvex integrals
- Variational integrals for elliptic complexes
- $\cal A$-Quasiconvexity, Lower Semicontinuity, and Young Measures
- Integral Functionals and the Gap Problem: Sharp Bounds for Relaxation and Energy Concentration
- Partial regularity for anisotropic functionals of higher order
- Quasi-Convexity and Lower Semi-Continuity of Multiple Variational Integrals of Any Order
This page was built for publication: Lower semicontinuity for higher order integrals below the growth exponent