Some optimal design problems with perimeter penalisation

DOI10.1007/978-3-031-53740-0_1MaRDI QIDQ6618560

José Matias, Elvira Zappale, Ana Cristina Barroso

Publication date: 14 October 2024

relaxation sets of finite perimeter non-standard growth conditions optimal design functions of bounded deformation measure representation symmetric quasiconvexity

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Qxx)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
On the structure of ${\mathcal A}$-free measures and applications
Relaxation of certain integral functionals depending on strain and chemical composition
Compactness and lower semicontinuity properties in $SBD(\Omega)$
A global method for relaxation
Partial regularity for optimal design problems involving both bulk and surface energies
An optimal design problem with perimeter penalization
Relaxation of multiple integrals below the growth exponent
On lower semicontinuity of integral functionals in $LD(\Omega)$
Relaxation of convex functionals: the gap problem
Relaxation for optimal design problems with non-standard growth
A relaxation approach to Hencky's plasticity
A lower semicontinuity result for some integral functionals in the space $SBD$
Relaxation in BV of integrals with superlinear growth
Optimal design and relaxation of variational problems, III
Optimal design and relaxation of variational problems, I
Optimal design and relaxation of variational problems, II
The effective bulk energy of the relaxed energy of multiple integrals below the growth exponent
Quasi-Convex Integrands and Lower Semicontinuity in $L^1 $
On Lower Semicontinuity of Integral Functionals. I
Rank one property for derivatives of functions with bounded variation
Integral representation and Γ-convergence of variational integrals withp(x)-growth
Relaxation of singular functionals defined on Sobolev spaces
An optimal design problem with non-standard growth and no concentration effects
On the Integral Representation of Variational Functionals on $BD$
Strict interior approximation of sets of finite perimeter and functions of bounded variation
Relaxation for an optimal design problem with linear growth and perimeter penalization
Integral Functionals and the Gap Problem: Sharp Bounds for Relaxation and Energy Concentration
Relaxation for an optimal design problem inBD(Ω)
Lower semicontinuity and relaxation for free discontinuity functionals with non-standard growth

This page was built for publication: Some optimal design problems with perimeter penalisation

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6618560)