Cover Image

Relaxation of Non-Convex Integral Functionals in the Multidimensional Scalar Case

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Bertin, Tommaso, Huguet, Paulin
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs Functional Analysis 49-XX
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Relaxation for highly discontinuous, possibly unbounded, integral functionals
by: Bertin, Tommaso, et al.
Published: (2025)

Exterior convexity and classical calculus of variations
by: Bandyopadhyay, Saugata, et al.
Published: (2017)

Integral representations of lower semicontinuous envelopes and Lavrentiev Phenomenon for non continuous Lagrangians
by: Bertin, Tommaso
Published: (2025)

Calculus of Variations: A Differential Form Approach
by: Sil, Swarnendu
Published: (2017)

Existence and uniqueness of Monge minimizers for a Multi-marginal Optimal Transport problem with intermolecular interactions cost
by: Gerolin, Augusto, et al.
Published: (2024)

Sacks-Uhlenbeck type regularity for subcritical generalized $p$-harmonic maps into Homogeneous targets
by: Di Matteo, Gianmichele, et al.
Published: (2025)

Higher dimensional Sacks-Uhlenbeck-type functionals and applications
by: Di Matteo, Gianmichele, et al.
Published: (2025)

Minimization of Degenerate Nonlinear Functionals under Radial Symmetry
by: Piat, Valeria Chiadò, et al.
Published: (2025)

Discarding Lavrentiev's Gap in Non-autonomous and Non-Convex Variational Problems
by: Borowski, Michał, et al.
Published: (2024)

Calculus of Variations with Differential Forms
by: Bandyopadhyay, Saugata, et al.
Published: (2017)

Regularized Moment Measures
by: Delalande, Alex, et al.
Published: (2025)

Gamma-Convergence of Higher-Order Phase Transition Models
by: Brazke, Denis, et al.
Published: (2025)

New estimates for a class of non-local approximations of the total variation
by: Picenni, Nicola
Published: (2023)

On the divergence of the composition of irregular fields with BV functions
by: Crasta, Graziano, et al.
Published: (2026)

The Space-Time Connectivity Theorem for Normal Currents
by: Bonicatto, Paolo, et al.
Published: (2025)

A matrix-valued measure associated to the derivatives of a function of generalised bounded deformation
by: Maso, Gianni Dal, et al.
Published: (2025)

On the normal trace space of extended divergence-measure fields
by: Irving, Christopher
Published: (2025)

Convergence of generalized Orlicz norms with lower growth rate tending to infinity
by: Bertazzoni, Giacomo, et al.
Published: (2023)

Regularity for multi-phase problems at nearly linear growth
by: De Filippis, Filomena, et al.
Published: (2024)

Integral Equation Methods for Scattering by Multifractal Obstacles
by: Chandler-Wilde, Simon N., et al.
Published: (2026)

Symmetry of Convex Solutions to Fully Nonlinear Elliptic Systems: Bounded Domains
by: Zhang, Weijun, et al.
Published: (2024)

Symmetry of Convex Solutions to Fully Nonlinear Elliptic Systems: Unbounded Domains
by: Zhang, Weijun, et al.
Published: (2024)

Polyak-Lojasiewicz Inequality for Quadratically Regularized Optimal Transport
by: González-Sanz, Alberto, et al.
Published: (2026)

Stability of Quadratically Regularized Optimal Transport
by: González-Sanz, Alberto, et al.
Published: (2026)

Orlicz-type Function Spaces and Generalized Gradient Flows with Degenerate Dissipation Potentials in Non-Reflexive Banach Spaces: Theory and Application
by: Ruf, Thomas
Published: (2024)

Unbounded Hamilton-Jacobi-Bellman Equations with one co-dimensional discontinuities
by: Chasseigne, Emmanuel, et al.
Published: (2024)

Multi-scale analysis of minimizers for a second order regularization of the Perona-Malik functional
by: Gobbino, Massimo, et al.
Published: (2023)

Fine properties of monotone maps arising in optimal transport for non-quadratic costs
by: Gutierrez, Cristian E., et al.
Published: (2022)

Convergence rate of entropy-regularized multi-marginal optimal transport costs
by: Nenna, Luca, et al.
Published: (2023)

Linear Convergence of Gradient Descent for Quadratically Regularized Optimal Transport
by: González-Sanz, Alberto, et al.
Published: (2025)

Functional Dimensionality of Koopman Eigenfunction Space
by: Cohen, Ido, et al.
Published: (2024)

Non-local approximation of free-discontinuity problems in linear elasticity and application to stochastic homogenisation
by: Marziani, Roberta, et al.
Published: (2022)

Fisher-Rao Gradient Flow: Geodesic Convexity and Functional Inequalities
by: Carrillo, José A., et al.
Published: (2024)

Sign Changing Critical Points for Locally Lipschitz Functionals
by: Xu, Xian, et al.
Published: (2024)

Non-local boundary energy forms for quasidiscs: Codimension gap and approximation
by: Creo, Simone, et al.
Published: (2023)

BMO-Interpolations and Jump Detection for Functions in $BV\cap BMO$
by: Hashash, Paz, et al.
Published: (2025)

Functional analysis and partial differential equations in spectral Barron spaces
by: Choulli, Mourad, et al.
Published: (2025)

The Method of Invariant Sets of Descending Flow for Locally Lipschitz Functionals
by: Xu, Xian, et al.
Published: (2024)

A note on non-local Sobolev spaces and non-local perimeters
by: Bessas, Konstantinos, et al.
Published: (2025)

Lipschitz solvability of prescribed Jacobian and divergence for singular measures
by: De Masi, Luigi, et al.
Published: (2026)