scientific article; zbMATH DE number 7768628
DOI10.4418/2023.78.1.9zbMath1527.35013arXiv2210.15490MaRDI QIDQ6070493
Francescopaolo Montefalcone, Annalisa Baldi
Publication date: 21 November 2023
Full work available at URL: https://arxiv.org/abs/2210.15490
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Inequalities for sums, series and integrals (26D15) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)
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Cites Work
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- Functional analysis, Sobolev spaces and partial differential equations
- Sobolev and isoperimetric inequalities for degenerate metrics
- On the structure of finite perimeter sets in step 2 Carnot groups
- Weak differentiability of BV functions on stratified groups
- On the equation \(\text{div }u=f\)
- Continuous solutions for divergence-type equations associated to elliptic systems of complex vector fields
- New estimates for the Laplacian, the div-curl, and related Hodge systems
- Representation formulas and weighted Poincaré inequalities for Hörmander vector fields
- The geometric Sobolev embedding for vector fields and the isoperimetric inequality
- Compensated compactness for differential forms in Carnot groups and applications
- The Gauss-Green theorem in stratified groups
- Cohomology of annuli, duality and \(L^\infty\)-differential forms on Heisenberg groups
- On the distributional divergence of vector fields vanishing at infinity
- Characterizations of the existence and removable singularities of divergence-measure vector fields
- Stratified Lie Groups and Potential Theory for their Sub-Laplacians
- Characterizations of signed measures in the dual of BV and related isometric isomorphisms
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- On the equation 𝑑𝑖𝑣𝑌=𝑓 and application to control of phases
- Lipschitz surfaces, perimeter and trace theorems for BV functions in Carnot-Carathéodory spaces
- Solving the Equation
- Distributions for which div v = F has a continuous solution
- [https://portal.mardi4nfdi.de/wiki/Publication:5689214 Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces]
