The Lipschitz truncation of functions of bounded variation
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Publication:5025415
DOI10.1512/iumj.2021.70.8742zbMath1489.26018arXiv1908.10655OpenAlexW2970707887MaRDI QIDQ5025415
Lars Diening, Franz Gmeineder, Dominic Breit
Publication date: 2 February 2022
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.10655
Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Special properties of functions of several variables, Hölder conditions, etc. (26B35)
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Cites Work
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- Solenoidal Lipschitz truncation and applications in fluid mechanics
- Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems
- A regularity theorem for minimizers of quasiconvex integrals
- Partial regularity of minimizers of quasiconvex integrals with subquadratic growth
- Parabolic Lipschitz truncation and caloric approximation
- Sublinear functions of measures and variational integrals
- On totally differentiable and smooth functions
- Finite Element Approximation of Steady Flows of Incompressible Fluids with Implicit Power-Law-Like Rheology
- Maximal functions measuring smoothness
- On very weak solutions of certain elliptic systems
- On the lower semicontinuity of quasiconvex integrals in SBV(Ω, Rk)
- Quasimonotone versus pseudomonotone
- Partial Regularity for Minimizers of Quasi-convex Functionals with General Growth
- Fully discrete finite element approximation of unsteady flows of implicitly constituted incompressible fluids
- On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications
- Semicontinuity problems in the calculus of variations
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