Sobolev inequalities for differential forms and \(L_{q,p}\)-cohomology
From MaRDI portal
Publication:2508669
DOI10.1007/BF02922133zbMath1105.58008arXivmath/0506065OpenAlexW2000636459WikidataQ115391126 ScholiaQ115391126MaRDI QIDQ2508669
Marc Troyanov, Vladimir Gol'dshtein
Publication date: 20 October 2006
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0506065
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Second-order elliptic equations (35J15) de Rham theory in global analysis (58A12) Differential complexes (58J10)
Related Items
Sur la multiplicité des valeurs propres du Laplacien de Witten ⋮ Rigidity of infinitesimal momentum maps ⋮ Distortion of mappings and \(L_{q,p}\)-cohomology ⋮ Sobolev inequalities on forms and \(L^{p,q}\)-cohomology on complete Riemannian manifolds ⋮ On the causal structure of stationary spacetimes in standard form with compact fiber ⋮ De Rham's theorem for Orlicz cohomology ⋮ ORLICZ SPACES OF DIFFERENTIAL FORMS ON RIEMANNIAN MANIFOLDS: DUALITY AND COHOMOLOGY ⋮ Conformal minoration of the spectrum of the Hodge-de Rham Laplacian ⋮ The Sobolev-Poincaré inequality and the \(L_{q,p}\)-cohomology of twisted cylinders ⋮ Pullback functors for reduced and unreduced \(L^{q,p}\)-cohomology ⋮ \(L^p\)-cohomology, heat semigroup and stratified spaces ⋮ Symplectic manifolds, \(L^p\)-cohomology and \(q\)-parabolicity ⋮ A short proof of the Hölder-Poincaré duality for \(L_p\)-cohomology ⋮ Non-vanishing for group \(L^p\)-cohomology of solvable and semisimple Lie groups ⋮ The Lavrentiev phenomenon in calculus of variations with differential forms ⋮ Relative L^p-cohomology and application to Heintze groups ⋮ Integral Norm Inequalities for Various Operators on Differential Forms ⋮ On the coupling between an ideal fluid and immersed particles ⋮ Some weighted norm estimates for the composition of the homotopy and Green's operator ⋮ The connectivity at infinity of a manifold and \(L^{q, p}\)-Sobolev inequalities ⋮ The Hölder-Poincaré duality for \(L _{q,p }\)-cohomology ⋮ Some strong \((p,q)\)-type inequalities for the homotopy operator ⋮ Estimates for Lipschitz and BMO norms of operators on differential forms ⋮ Reduced \(L_{q,p}\)-cohomology of some twisted products ⋮ \(L_{p,q}\)-cohomology of some warped cylinders ⋮ Variable exponent spaces of differential forms on Riemannian manifold ⋮ Spectral density and Sobolev inequalities for pure and mixed states ⋮ A conformal de Rham complex ⋮ Smoothed projections over weakly Lipschitz domains ⋮ Estimation of the continuity constants for Bogovskiĭ and regularized Poincaré integral operators ⋮ Lower volume estimates and Sobolev inequalities ⋮ Poincaré duality for \(L^p\) cohomology on subanalytic singular spaces ⋮ L q,p -Cohomology of Riemannian Manifolds with Negative Curvature ⋮ Conformally formal manifolds and the uniformly quasiregular non-ellipticity of \((\mathbb{S}^2 \times\mathbb{S}^2)\#(\mathbb{S}^2\times\mathbb{S}^2)\) ⋮ \(L _{p,q} \)-cohomology of warped cylinders ⋮ Some calculations of Orlicz cohomology and Poincaré-Sobolev-Orlicz inequalities ⋮ Imbedding inequalities for composition operators in Sobolev spaces of differential forms
Cites Work
- Integral estimates for null Lagrangians
- Parabolicity of manifolds
- A special Stoke's theorem for complete Riemannian manifolds
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item