Functional capacities on the Grushin space \({\mathbb {G}}^n_\alpha \)
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Publication:1647868
DOI10.1007/s10231-017-0699-3zbMath1394.31006OpenAlexW2754246608MaRDI QIDQ1647868
Publication date: 27 June 2018
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-017-0699-3
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Vanishing theorems for \(f\)-\(CC\) stationary maps with potential \(H\) into Grushin spaces ⋮ The \(\infty \)-capacity and Faber-Krahn inequality on Grushin spaces ⋮ Sobolev and variational capacities in the Hermite setting and their applications
Cites Work
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- The \(p\)-affine capacity
- Isoperimetric problem in \(H\)-type groups and Grushin spaces
- BV capacity on generalized Grushin plane
- An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
- The sharp Sobolev and isoperimetric inequalities split twice
- A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds
- A note on dyadic Hausdorff capacities
- The BV-capacity in metric spaces
- Besov capacity and Hausdorff measures in metric measure spaces
- Lipschitz continuity, global smooth approximations and extension theorems for Sobolev functions in Carnot-Carathéodory spaces
- An isoperimetric inequality for the Heisenberg groups
- Lebesgue points for Sobolev functions on metric spaces.
- Fine properties of sets of finite perimeter in doubling metric measure spaces
- The \(p\)-affine capacity redux
- Isoperimetric inequality in the Grushin plane
- Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
- Capacities in metric spaces
- An isoperimetric inequality and the geometric Sobolev embedding for vector fields
- Conductor and capacitary inequalities for functions on topological spaces and their applications to Sobolev-type imbeddings
- On the isoperimetric problem in the Heisenberg group \(\mathbb H^n\)
- Hypoelliptic second order differential equations
- Normal and integral currents
- On the Grushin operator and hyperbolic symmetry
- Sharp capacitary estimates for rings in metric spaces
- The Fundamental Solution to the p-Laplacian in a class of H\"ormander Vector Fields
- The 𝑃-Laplace equation on a class of Grushin-type spaces
- Some results on functional capacity and their applications to P-Laplacian problems involving measure data
- Lebesgue points and capacities via boxing inequality in metric spaces
- [https://portal.mardi4nfdi.de/wiki/Publication:5689214 Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces]
- Capacitary estimates and the local behavior of solutions of nonlinear subelliptic equations
- Surface measures in Carnot-Carathéodory spaces
- Geometry of Grushin spaces