On a $\Gamma$-Limit of Willmore Functionals with Additional Curvature Penalization Term
From MaRDI portal
Publication:5231320
DOI10.1137/18M1203596zbMath1426.49006arXiv1807.10701MaRDI QIDQ5231320
Publication date: 26 August 2019
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.10701
Optimization of shapes other than minimal surfaces (49Q10) Existence theories for optimal control problems involving partial differential equations (49J20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the structure of \({\mathcal A}\)-free measures and applications
- Fonctions à hessien borné
- Relaxation of quasiconvex functionals in \(BV(\Omega, \mathbb{R}^ N)\) for integrands \(f(x, u, \bigtriangledown u)\)
- Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals
- Compactness theorems for spaces of functions with bounded derivatives and applications to limit analysis problems in plasticity
- Curvature varifolds with boundary
- On the relaxation in \(BV(\Omega ;\mathbb{R}^ m)\) of quasi-convex integrals
- Superposition and chain rule for bounded Hessian functions
- On lower semicontinuity in \(BH^p\) and 2-quasiconvexification
- Michell trusses in two dimensions as a \(\Gamma \)-limit of optimal design problems in linear elasticity
- An elementary proof of the rank-one theorem for BV functions
- Optimal design and relaxation of variational problems, I
- Lower semicontinuity and continuity of functions of measures with respect to the strict convergence
- Rank one property for derivatives of functions with bounded variation
- Analysis of Concentration and Oscillation Effects Generated by Gradients
- VARIATIONAL APPROXIMATION OF FREE-DISCONTINUITY ENERGIES WITH LINEAR GROWTH
- Quasi-Convexity and Lower Semi-Continuity of Multiple Variational Integrals of Any Order
- Semicontinuity problems in the calculus of variations
- Direct methods in the calculus of variations
This page was built for publication: On a $\Gamma$-Limit of Willmore Functionals with Additional Curvature Penalization Term