Relaxation of a scalar nonlocal variational problem with a double-well potential
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Publication:1984774
DOI10.1007/s00526-020-1728-4zbMath1436.49019OpenAlexW3009409552MaRDI QIDQ1984774
Andrea Tellini, Carlos Mora-Corral
Publication date: 7 April 2020
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10486/698560
Variational inequalities (49J40) Methods involving semicontinuity and convergence; relaxation (49J45) Optimality conditions for problems involving relations other than differential equations (49K21)
Related Items (8)
Compactness for a class of integral functionals with interacting local and non-local terms ⋮ Lower semicontinuity and relaxation of nonlocal \(L^\infty\)-functionals ⋮ Validity and failure of the integral representation of \(\Gamma \)-limits of convex non-local functionals ⋮ Bond-based peridynamics does not converge to hyperelasticity as the horizon goes to zero ⋮ Loss of Double-Integral Character During Relaxation ⋮ Quasiconvexity in the fractional calculus of variations: characterization of lower semicontinuity and relaxation ⋮ On non-locality in the calculus of variations ⋮ Cartesian convexity as the key notion in the variational existence theory for nonlocal supremal functionals
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