Pierre BÉRARD : Publications
(Articles / Papers -- Cours / Lecture notes)
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Papers on arXiv
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Articles récents / Recent papers
- A. Stern's analysis of the nodal sets of some families of spherical
harmonics revisited (coll. Bernard Helffer)
HAL.
Appendix (unpublished). Extracts from A. Stern's thesis. “ Bemerkungen über asymptotisches
Verhalten von Eigenwerten und Eigenfunctionen.”
Inaugural-Dissertation zur Erlangung der Doktorwürde der Hohen
Mathematisch-Naturwissenschaftlichen Fakultät der Georg
August-Universität zu Göttingen. Druck der Dieterichschen
Univertisäts-Buchdruckerei (W. Fr. Kaestner). Göttingen 1925.
PDF
- Dirichlet eigenfunctions of the square membrane:
Courant's property, and A. Stern's and Å. Pleijel's analyses (coll. Bernard Helffer)
HAL.
Appendix (unpublished). Extracts from A. Stern's thesis. “ Bemerkungen über asymptotisches
Verhalten von Eigenwerten und Eigenfunctionen.”
Inaugural-Dissertation zur Erlangung der Doktorwürde der Hohen
Mathematisch-Naturwissenschaftlichen Fakultät der Georg
August-Universität zu Göttingen. Druck der Dieterichschen
Univertisäts-Buchdruckerei (W. Fr. Kaestner). Göttingen 1925.
PDF
- Remarks on the boundary set of spectral equipartitions (coll. Bernard Helffer)
HAL (Published in Phil.
Trans. A, Dec. 2013).
- Spectral positivity and Riemannian coverings (coll. Philippe Castillon)
HAL
(Published in Bull. London Math. Soc. June 2013).
- Remarks on J. Espinar's ''Finite index operators on surfaces'' (coll. Philippe Castillon)
HAL (Unpublished).
- Inverse spectral positivity for surfaces (coll. Philippe Castillon)
HAL (to appear in Revista Mat.
Iberoamericana, 2014).
- Stability Properties of Rotational Catenoids in the Heisenberg Groups (coll.
Marcos P. Cavalcante)
HAL (to appear in Matemática Contemporânea, 2014)
- Eigenvalue estimates for hypersurfaces in Hm x R and
applications (coll. Philippe Castillon and Marcos P. Cavalcante), 2010,
Pacific Journal of Math. 53 (2011), 19-35.
HAL
arXiv
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Lindeloef's theorem for hyperbolic catenoids (coll. Ricardo Sa Earp),
Proceedings
Amer. Math. Soc. 138 (2010), 3657--3669 [Posted June 15, 2010]
HAL
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Lindeloef's theorem for catenoids revisited (coll. Ricardo Sa Earp), 2009,
arXiv:0907.4294
arXiv
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Examples of H-hypersurfaces in Hn x R and geometric applications
(coll. Ricardo Sa Earp),
Matemática Contemporânea 34 (2008), 19--51
HAL
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Minimal hypersurfaces in Hn x R, total curvature and index
(coll. Ricardo Sa Earp), 2008,
arXiv 0808.3838v1
arXiv
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Index growth of hypersurfaces with constant mean curvature
(coll. L. Lopes de Lima & W. Rossman), Math. Zeit 2001
Résumé/Summary & Article (PDF)
Expanded version (Postscript)
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Eigenvalue and "twisted" eigenvalue problems (coll.
L. Barbosa), Journal de Mathématiques Pures et Appliquées 79:5 (2000),
427 -- 450
Postscript
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Curvature estimates and stability properties of CMC-submanifolds in
space forms (coll. W. Santos), Matemática Contemporânea 17
(1999), 77 -- 97
Postscript
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General curvature estimates for stable H-surfaces in space forms (coll.
L. Hauswirth), Journal de Mathématiques Pures et Appliquées 78:7 (1999),
667 -- 700
Article (pdf)
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Complete hypersurfaces with constant mean curvature and finite total
curvature (coll. M. do Carmo & W. Santos), Annals of Global Analysis
and Geometry 16 (1998), 273--290
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The index of constant mean curvature surfaces in hyperbolic 3-space
(coll. M. do Carmo & W. Santos), Math. Z. 224 (1997), 313--326
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Simons' equation revisited, An. Acad. bras. Ci. 66 (1994), 397--403
Postscript
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Cours / Lecture notes
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An elementary introduction to eigenvalue problems, with an application to
catenoids in R3
Notes, Escola de Geometria Diferencial (Fortaleza - Brasil, 2008)
PDF
Corrected version (080731)
PDF
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The isospectral problem for Riemannian manifolds
(without pictures), Notes 1993
Postscript
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