Characterisation of the weak lower semicontinuity for a type of nonlocal integral functional: the \(n\)-dimensional scalar case
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Publication:1034570
DOI10.1016/J.JMAA.2009.06.068zbMath1175.49015OpenAlexW2026852947MaRDI QIDQ1034570
Publication date: 6 November 2009
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.06.068
Related Items (8)
Weak lower semicontinuity and relaxation for a class of non-local functionals ⋮ Compactness for a class of integral functionals with interacting local and non-local terms ⋮ Lower semicontinuity and relaxation of nonlocal \(L^\infty\)-functionals ⋮ Lower Semicontinuity and Relaxation Via Young Measures for Nonlocal Variational Problems and Applications to Peridynamics ⋮ Structural changes in nonlocal denoising models arising through bi-level parameter learning ⋮ Loss of Double-Integral Character During Relaxation ⋮ The method of moments for some one-dimensional, non-local, non-convex variational problems ⋮ Cartesian convexity as the key notion in the variational existence theory for nonlocal supremal functionals
Cites Work
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- Nonlocal regularization of L. C. Young's tacking problem
- Parametrized measures and variational principles
- A nonlocal anisotropic model for phase transitions
- Closed form solution for a nonlocal elastic bar in tension.
- On the thermodynamics of system with nonlocality
- A necessary and sufficient condition for the weak lower semicontinuity of one-dimensional non-local variational integrals
- Nonlocal variational principles
- Nonlocal elasticity and related variational principles
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