Integral representation of local functionals depending on vector fields
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Publication:6110515
DOI10.1515/acv-2021-0054zbMath1518.49004OpenAlexW4205567181WikidataQ114007284 ScholiaQ114007284MaRDI QIDQ6110515
Simone Verzellesi, Fares Essebei, Andrea Pinamonti
Publication date: 6 July 2023
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/acv-2021-0054
Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for optimal control problems involving relations other than differential equations (49J21)
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Cites Work
- Functional analysis, Sobolev spaces and partial differential equations
- \(\Gamma\)-limits of integral functionals
- Integral representation of local functionals
- Approximate Taylor polynomials and differentiation of functions
- An introduction to \(\Gamma\)-convergence
- Two-scale homogenization in the Heisenberg group
- Geometric measure theory.
- \( \Gamma\)-convergence for functionals depending on vector fields. I: Integral representation and compactness
- Integral representation of local left-invariant functionals in Carnot groups
- Integral representation and relaxation of local functionals
- Stratified Lie Groups and Potential Theory for their Sub-Laplacians
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- Semicontinuity problems in the calculus of variations
- A characterization of nonlinear functionals on Sobolev spaces which admit an integral representation with a Carathéodory integrand
- Direct methods in the calculus of variations
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