Uniform Sobolev, interpolation and geometric Calderón-Zygmund inequalities for graph hypersurfaces
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Publication:6645004
DOI10.1285/i15900932v44n1p53MaRDI QIDQ6645004
Serena Della Corte, Antonia Diana, Carlo Mantegazza
Publication date: 28 November 2024
Published in: Note di Matematica (Search for Journal in Brave)
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
Cites Work
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- Minimality via second variation for a nonlocal isoperimetric problem
- Hitchhiker's guide to the fractional Sobolev spaces
- Compactness of immersions with local Lipschitz representation
- Functional spaces for the theory of elliptic partial differential equations. Transl. from the French by Reinie Erné
- Partial differential equations. I: Basic theory
- A compactness theorem for surfaces with \(L_ p\)-bounded second fundamental form
- Smooth geometric evolutions of hypersurfaces
- Three-manifolds with positive Ricci curvature
- Global existence and stability for the modified Mullins-Sekerka and surface diffusion flow
- Nonlinear stability results for the modified Mullins-Sekerka and the surface diffusion flow
- Immersions with bounded second fundamental form
- Minimal varieties in Riemannian manifolds
- $C^1$-regularity for local graph representations of immersions
- Geometria Differenziale
- Elliptic Partial Differential Equations of Second Order
- Lectures on Differential Topology
- Riemannian geometry.
- On hypersurfaces in \(\mathbb{R}^{n+1}\) with integral bounds on curvature.
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