Quasiconvex bulk and surface energies: $C^{1, \alpha}$ regularity

DOI10.1515/ANONA-2024-0021MaRDI QIDQ6630678

Lorenzo Lamberti, Luca Esposito, Menita Carozza

Publication date: 31 October 2024

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Could not fetch data.

Regularity of solutions in optimal control (49N60) Miscellaneous topics in calculus of variations and optimal control (49N99)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Regularity for free interface variational problems in a general class of gradients
Dimensional estimates for singular sets in geometric variational problems with free boundaries
On the shape of liquid drops and crystals in the small mass regime
Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals
Partial regularity of minimizers of quasiconvex integrals
A regularity theorem for minimizers of quasiconvex integrals
Regularity theory for almost minimal currents
Partial regularity for optimal design problems involving both bulk and surface energies
Variational problems with free interfaces
An optimal design problem with perimeter penalization
Partial regularity of minimizers of quasiconvex integrals with subquadratic growth
Regularity of codimension-1 minimizing currents under minimal assumptions on the integrand
Regularity results for an optimal design problem with quasiconvex bulk energies
A regularity result for minimal configurations of a free interface problem
Anisotropic liquid drop models
Density lower bound estimate for local minimizer of free interface problem with volume constraint
A note on the dimension of the singular set in free interface problems.
On the regularity of critical and minimal sets of a free interface problem
Existence and regularity almost everywhere of solutions to elliptic variational problems among surfaces of varying topological type and singularity structure
Partial regularity of minimizers of quasiconvex integrals with subquadratic growth: the general case
Sets of Finite Perimeter and Geometric Variational Problems
Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
Boundaries of Caccioppoli sets with Hölder-continuois normal vector.
Analysis of Concentration and Oscillation Effects Generated by Gradients
Partial regularity of local minimizers of quasiconvex integrals with sub-quadratic growth
Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals
$\cal A$-Quasiconvexity, Lower Semicontinuity, and Young Measures
Regularity results for an optimal design problem with a volume constraint
A regularity theorem for minimisers of quasiconvex integrals: the case 1 <p<2
On a crystalline variational problem. II: $BV$ regularity and structure of minimizers on facets
On a crystalline variational problem. I: First variation and global $L^\infty$ regularity
Regularity results for an optimal design problem with lower order terms
Regularity results for a free interface problem with Hölder coefficients

This page was built for publication: Quasiconvex bulk and surface energies: $C^{1, \alpha}$ regularity

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6630678)

Quasiconvex bulk and surface energies: \(C^{1, \alpha}\) regularity