Universal Hardy–Sobolev inequalities on hypersurfaces of Euclidean space
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Publication:5865477
DOI10.1142/S0219199721500632WikidataQ114072656 ScholiaQ114072656MaRDI QIDQ5865477
Publication date: 9 June 2022
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.09282
Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Inequalities involving derivatives and differential and integral operators (26D10)
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Cites Work
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- Sharp Poincaré-Hardy and Poincaré-Rellich inequalities on the hyperbolic space
- On Aleksandrov-Fenchel inequalities for \(k\)-convex domains
- Hardy inequalities on Riemannian manifolds and applications
- Elliptic PDE's in probability and geometry: Symmetry and regularity of solutions
- Relating diameter and mean curvature for submanifolds of Euclidean space
- Submanifolds, isoperimetric inequalities and optimal transportation
- Nonlinear ground state representations and sharp Hardy inequalities
- The quermassintegral inequalities for \(k\)-convex starshaped domains
- Hardy inequalities on non-compact Riemannian manifolds
- On the isoperimetric inequality on a minimal surface
- The inverse mean curvature flow and the Riemannian Penrose inequality
- The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential
- Hardy and Rellich inequalities for submanifolds in Hadamard spaces
- Optimal regularity of stable solutions to nonlinear equations involving the \(p\)-Laplacian
- Boundedness of stable solutions to nonlinear equations involving the \(p\)-Laplacian
- A new proof of the boundedness results for stable solutions to semilinear elliptic equations
- Diseguaglianze di Sobolev sulle ipersuperfici minimali
- On the first variation of a varifold
- Some improved Caffarelli-Kohn-Nirenberg inequalities
- Stable solutions to semilinear elliptic equations are smooth up to dimension \(9\)
- An improved Hardy-Sobolev inequality and its application
- Hardy-Poincaré, Rellich and uncertainty principle inequalities on Riemannian manifolds
- On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
- An optimal improvement for the Hardy inequality on the hyperbolic space and related manifolds
- Regularity of minimizers of semilinear elliptic problems up to dimension 4
- Improved Hardy and Rellich inequalities on Riemannian manifolds
- Sobolev and isoperimetric inequalities for riemannian submanifolds
- A unified approach to improved $L^p$ Hardy inequalities with best constants
- The isoperimetric inequality for a minimal submanifold in Euclidean space
- Sobolev and mean‐value inequalities on generalized submanifolds of Rn
- Hardy-type inequalities
