Failure of the local chain rule for the fractional variation
From MaRDI portal
Publication:6041139
DOI10.4171/pm/2096arXiv2206.03197MaRDI QIDQ6041139
Giorgio Stefani, Giovanni E. Comi
Publication date: 26 May 2023
Published in: Portugaliae Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.03197
Related Items
Fractional differential operators, fractional Sobolev spaces and fractional variation on homogeneous Carnot groups, Extending linear growth functionals to functions of bounded fractional variation, The Cheeger problem in abstract measure spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An \(L^1\)-type estimate for Riesz potentials
- On a new class of fractional partial differential equations
- \(L^p\) theory for fractional gradient PDE with \(VMO\) coefficients
- On a new class of fractional partial differential equations. II
- New directions in harmonic analysis on \(L^1\)
- Fractional vector analysis based on invariance requirements (critique of coordinate approaches)
- Quasiconvexity in the fractional calculus of variations: characterization of lower semicontinuity and relaxation
- The fractional variation and the precise representative of \(BV^{\alpha,p}\) functions
- Leibniz rules and Gauss-Green formulas in distributional fractional spaces
- A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics~II
- A noninequality for the fractional gradient
- An optimal Sobolev embedding for \(L^1\)
- Fractional Piola identity and polyconvexity in fractional spaces
- Correction to: ``On nonlocal variational and quasi-variational inequalities with fractional gradient
- A distributional approach to fractional Sobolev spaces and fractional variation: existence of blow-up
- On nonlocal variational and quasi-variational inequalities with fractional gradient
- Integral Inequalities of Poincare and Wirtinger Type for BV Functions
- Regularity for a fractional p-Laplace equation
- A boxing Inequality for the fractional perimeter
- Modern Fourier Analysis
- A trace inequality for solenoidal charges
- A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics. I
