Relaxation of a scalar nonlocal variational problem with a double-well potential
type: Item
instance of: scholarly article
title: Relaxation of a scalar nonlocal variational problem with a double-well potential
zbMATH Open document ID: 1436.49019
author: Carlos Mora-Corral
author: Andrea Tellini
published in: Calculus of Variations and Partial Differential Equations
publication date: 2020-04-07T00:00:00Z
full work available at URL: http://hdl.handle.net/10486/698560
Mathematics Subject Classification ID: 49J45
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 49K21
zbMATH DE Number: 7187020
zbMATH Keywords: relaxation
zbMATH Keywords: scalar problem with double-well integrand
MaRDI profile type: Publication
OpenAlex ID: W3009409552
cites work: Results on Nonlocal Boundary Value Problems
cites work: A nonlocal anisotropic model for phase transitions
cites work: A nonlocal \(p\)-Laplacian evolution equation with Neumann boundary conditions
cites work: Q3162662
cites work: Q4501638
cites work: Variational Analysis in Sobolev andBVSpaces
cites work: Q4528020
cites work: Fine phase mixtures as minimizers of energy
cites work: An efficient approach to the numerical solution of rate-independent problems with nonconvex energies
cites work: Existence for Nonlocal Variational Problems in Peridynamics
cites work: Lower Semicontinuity and Relaxation Via Young Measures for Nonlocal Variational Problems and Applications to Peridynamics
cites work: A necessary and sufficient condition for the weak lower semicontinuity of one-dimensional non-local variational integrals
cites work: Non-Local Functionals for Imaging
cites work: Q3159214
cites work: Limiting embedding theorems for \(W^{s,p}\) when \(s\uparrow 1\) and applications
cites work: Functional analysis, Sobolev spaces and partial differential equations
cites work: Q3995083
cites work: Numerical approximation of Young measures in non-convex variational problems
cites work: Some Aspects of the Existence of Minimizers for a Nonlocal Integral Functional in Dimension One
cites work: Q4650438
cites work: Q3414549
cites work: Nonlocal Operators with Applications to Image Processing
cites work: On fractional Poincaré inequalities
cites work: Loss of Double-Integral Character During Relaxation
cites work: Lower semicontinuity and relaxation of nonlocal \(L^\infty\)-functionals
cites work: Weierstrass-type maximum principle for microstructure in micromagnetics
cites work: Q4942220
cites work: On Some Necessary Conditions of Optimality for a Nonlocal Variational Principle
cites work: Nonlocal variational principles
cites work: Parametrized measures and variational principles
cites work: Equilibrium Conditions for Young Measures
cites work: Weak lower semicontinuity and relaxation for a class of non-local functionals
cites work: An estimate in the spirit of Poincaré's inequality
cites work: Q4341805
cites work: Q4909784
cites work: Reformulation of elasticity theory for discontinuities and long-range forces
cites work: Q3972449
cites work: Q4884362
DOI: 10.1007/S00526-020-1728-4
description: scientific article; zbMATH DE number 7187020