On the best constant in Gaffney inequality
From MaRDI portal
Publication:1677456
DOI10.1016/j.jfa.2017.10.006zbMath1407.58002arXiv1712.04875OpenAlexW2762787249WikidataQ125813916 ScholiaQ125813916MaRDI QIDQ1677456
Gyula Csató, Swarnendu Sil, Bernard Dacorogna
Publication date: 21 November 2017
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.04875
Related Items
A new proof of Gaffney's inequality for differential forms on manifolds-with-boundary: the variational approach à la Kozono-Yanagisawa, Parabolic problem for moving/evolving body with perfect contact to neighborhood, The Lavrentiev phenomenon in calculus of variations with differential forms, On the Discreteness of Transmission Eigenvalues for the Maxwell Equations, Friedrichs inequality in irregular domains, On the boundary conditions in estimating ∇ω by div ω and curl ω, Quasiconvexity and relaxation in optimal transportation of closed differential forms, Sobolev-Gaffney type inequalities for differential forms on sub-Riemannian contact manifolds with bounded geometry
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A geometric characterization of a sharp Hardy inequality
- An identity involving exterior derivatives and applications to Gaffney inequality
- A Reilly formula and eigenvalue estimates for differential forms
- Finite element approximation of the Navier-Stokes equations
- The pullback equation for differential forms
- A variational method in the theory of harmonic integrals. I
- On the total curvature of immersed manifolds. II
- P-convex Riemannian manifolds
- A coercive bilinear form for Maxwell's equations
- Nonlinear Hodge theory on manifolds with boundary
- Finite energy solutions of Maxwell's equations and constructive Hodge decompositions on nonsmooth Riemannian manifolds
- H. Weyl's boundary value problems for differential forms.
- Hodge decomposition. A method for solving boundary value problems
- Dirichlet integrals and Gaffney-Friedrichs inequalities in convex domains
- Differential forms on riemannian manifolds
- A Variational Method in the Theory of Harmonic Integrals, II
- A remark on the regularity of solutions of Maxwell's equations on Lipschitz domains
- Estimating ∇u by divu and curlu
- Locally Convex Hypersurfaces of Negatively Curved Spaces
- On the best constant for Hardy’s inequality in $\mathbb {R}^n$
- Vector potentials in three-dimensional non-smooth domains
- Les équations de Maxwell dans un polyèdre: un résultat de densité
- Un résultat de densité pour les équations de Maxwell régularisées dans un domaine lipschitzien
- Maxwell and Lamé eigenvalues on polyhedra
- Un résultat de densité pour les équations de Maxwell
- On a variant of Korn's inequality arising in statistical mechanics
- On Korn's first inequality for tangential or normal boundary conditions with explicit constants
- On an integral formula for differential forms and its applications on manifolds with boundary
- The Harmonic Operator for Exterior Differential Forms
- Hilbert Space Methods in the Theory of Harmonic Integrals
