Principe de Dirichlet pour les formes différentielles

DOI10.24033/bsmf.2131zbMath0703.53033OpenAlexW2585225943MaRDI QIDQ3482484

Colette Anné

Publication date: 1989

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1989__117_4_445_0

zbMATH Keywords

Riemannian manifold with boundaryharmonic p-form

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Harmonic maps, etc. (58E20)

Related Items

Sur la multiplicité des valeurs propres du Laplacien de Witten ⋮ Spectrum of the Laplacian acting on differential \(p\)-forms, and down breaking handles ⋮ Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms ⋮ New eigenvalue estimates involving Bessel functions ⋮ Vanishing of cohomology groups and large eigenvalues of the Laplacian on \(p\)-forms

Cites Work

• A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order
• A unique continuation theorem for exterior differential forms on Riemannian manifolds
• Spectral geometry: direct and inverse problems. With an appendix by G. Besson
• Nodal sets of eigenfunctions on Riemannian manifolds
• Harmonic tensors on Riemannian manifolds with boundary
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