H. Alencar, M. P. Do-carmo, and &. H. Rosenberg, On the first eigenvalue of the linearized operator of ther-th mean curvature of a hypersurface, Annals of Global Analysis and Geometry, vol.67, issue.4, pp.387-395, 1993.
DOI : 10.1007/BF00773553

&. J. Aubry and . Grosjean, Spectrum of hypersurfaces with small extrinsic radius or large ? 1 in Euclidean spaces, Journal of Functional Analysis, vol.271, issue.5, pp.1213-1242, 2016.
DOI : 10.1016/j.jfa.2016.06.011

URL : https://hal.archives-ouvertes.fr/hal-01343417

E. Aubry, J. F. Grosjean, and &. J. Roth, Spectrum of hypersurfaces with small extrinsic radius or large ? 1 in Euclidean spaces, Journal of Functional Analysis, vol.271, issue.5
DOI : 10.1016/j.jfa.2016.06.011

URL : https://hal.archives-ouvertes.fr/hal-01343417

L. J. Alias and &. J. Malacarne, On the first eigenvalue of the linearized operator of the higher order mean curvature for closed hypersurfaces in space forms, Illinois J. Math, vol.48, issue.1, pp.219-240, 2004.

G. Auchmuty, Steklov Eigenproblems and the Representation of Solutions of Elliptic Boundary Value Problems, Numerical Functional Analysis and Optimization, vol.31, issue.3-4, pp.321-348, 2004.
DOI : 10.1016/0022-247X(79)90190-2

D. Bakry and &. M. Emery, Diffusions hypercontractives In Séminaire de probabilités, XIX, Lecture Notes in Math, vol.84, issue.1123, p.177206, 1983.

J. L. Barbosa and &. G. Colares, Stability of hypersurfaces with constant r-mean curvature, Annals of Global Analysis and Geometry, vol.15, issue.3, pp.277-297, 1997.
DOI : 10.1023/A:1006514303828

M. Batista, M. P. Cavalcante, and &. J. Pyo, Some isoperimetric inequalities and eigenvalue estimates in weighted manifolds, Journal of Mathematical Analysis and Applications, vol.419, issue.1, pp.617-626, 2014.
DOI : 10.1016/j.jmaa.2014.04.074

URL : http://arxiv.org/abs/1306.4874

S. Batista, The first Stekloff eigenvalue in weighted Riemannian manifolds, 2015.

T. Branson, Differential operators cononically associated to a conformal structure., MATHEMATICA SCANDINAVICA, vol.57, pp.293-345, 1985.
DOI : 10.7146/math.scand.a-12120

S. Brendle, Embedded self-similar shrinkers of genus $0$, Annals of Mathematics, vol.183, pp.715-728, 2016.
DOI : 10.4007/annals.2016.183.2.6

D. Buoso and &. L. Provenzano, On the eigenvalues of a biharmonic Steklov problem, Integral Methods in Science and Engineering: Theoretical and Computational Advances, 2015.

D. Chen and &. H. Li, The sharp estimates for the first eigenvalue of Paneitz operator on 4- dimensional submanifolds

B. Colbois and &. J. Grosjean, A pinching theorem for the first eigenvalue of the Laplacian on hypersurfaces of the Euclidean space, Commentarii Mathematici Helvetici, vol.82, pp.175-195, 2007.
DOI : 10.4171/CMH/88

URL : https://hal.archives-ouvertes.fr/hal-00095768

M. Dambrine, D. Kateb, and J. Lamboley, An extremal eigenvalue problem for the Wentzell?Laplace operator, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.33, issue.2, pp.409-450, 2016.
DOI : 10.1016/j.anihpc.2014.11.002

URL : https://hal.archives-ouvertes.fr/hal-00937113

Z. Djadli, E. Hebey, and &. M. Ledoux, Paneitz-type operators and applications, Duke Math, J, vol.104, issue.1, pp.129-169, 2000.

M. C. Domingo-juan and &. V. Miquel, Reilly's type inequality for the Laplacian associated to a density related with shrinkers for MCF

A. Soufi and &. S. Ilias, Une in?galit? du type ?Reilly? pour les sous-vari?t?s de l'espace hyperbolique, Commentarii Mathematici Helvetici, vol.67, issue.1, pp.167-181, 1992.
DOI : 10.1007/BF02566494

URL : http://www.e-periodica.ch/cntmng?pid=com-001:1992:67::3

A. Soufi, E. M. Harrell, I. , and &. S. Ilias, Universal inequalities for the eigenvalues of Laplace and Schr?dinger operators on submanifolds, Transactions of the American Mathematical Society, vol.361, issue.05, pp.2337-2350, 2009.
DOI : 10.1090/S0002-9947-08-04780-6

J. F. Grosjean, Upper bounds for the first eigenvalue of the Laplacian on compact manifolds, Pac, J. Math, vol.206, issue.1, pp.93-111, 2002.

P. F. Guan and &. S. Shen, A rigidity theorem for hypersurfaces in higher dimensional space forms, Analysis, complex geometry, and mathematical physics: in honor of Duong H. Phong, Contemp. Math, vol.6165, issue.644, p.2015

C. C. Hsiung, Some integral formulae for closed hypersurfaces, Math. Scand, vol.2, pp.286-294, 1954.

G. Huisken, Asymptotic behavior for singularities of the mean curvature flow, Journal of Differential Geometry, vol.31, issue.1, pp.31-285, 1990.
DOI : 10.4310/jdg/1214444099

Y. Hu, H. Xu, and E. Zhao, First eigenvalue pinching for Euclidean hypersurfaces via $$k$$ k -th mean curvatures, Annals of Global Analysis and Geometry, vol.53, issue.2, pp.1-13, 2015.
DOI : 10.1007/s10455-015-9454-4

S. Ilias and &. O. Makhoul, A Reilly inequality for the first Steklov eigenvalue, Differential Geometry and its Applications, vol.29, issue.5, pp.699-708, 2011.
DOI : 10.1016/j.difgeo.2011.07.005

URL : https://hal.archives-ouvertes.fr/hal-00597949

A. Lichnerowicz, Variétés riemanniennesàriemanniennes`riemanniennesà tenseurr C non négatif, C.R. Acad. Sc. Paris Serie A, pp.271-650, 1970.

S. Paneitz, A quartic conformally covariant differential operator for arbitrary pseudo- Riemannian manifolds, preprint, 1983.
DOI : 10.3842/sigma.2008.036

URL : http://doi.org/10.3842/sigma.2008.036

S. Paneitz, A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary), Symmetry, Integrability and Geometry: Methods and Applications, vol.4, issue.036, 2008.
DOI : 10.3842/SIGMA.2008.036

URL : http://doi.org/10.3842/sigma.2008.036

R. C. Reilly, On the first eigenvalue of the Laplacian for compact submanifolds of Euclidean space, Commentarii Mathematici Helvetici, vol.52, issue.1, pp.525-533, 1977.
DOI : 10.1007/BF02567385

J. Roth, Extrinsic radius pinching for hypersurfaces of space forms, Differential Geometry and its Applications, vol.25, issue.5, pp.485-499, 2007.
DOI : 10.1016/j.difgeo.2007.06.017

URL : https://hal.archives-ouvertes.fr/hal-00021278

J. Roth, Extrinsic radius pinching in space forms of nonnegative sectional curvature, Mathematische Zeitschrift, vol.107, issue.3, pp.227-240, 2008.
DOI : 10.1007/s00209-007-0172-x

URL : https://hal.archives-ouvertes.fr/hal-00095786

J. Roth, Upper bounds for the first eigenvalue of the Laplacian in terms of anisiotropic mean curvatures, Results Math, ) (2013), pp.383-403

J. Roth, General Reilly-type inequalities for submanifolds of weighted Euclidean spaces, Colloquium Mathematicum, vol.144, issue.1, pp.127-136, 2016.
DOI : 10.4064/cm6596-12-2015

URL : https://hal.archives-ouvertes.fr/hal-01140763

J. Roth and &. J. Scheuer, Pinching of the first eigenvalue for second order operators on hypersurfaces of the Euclidean space, Annals of Global Analysis and Geometry, vol.18, issue.4, pp.287-304, 2017.
DOI : 10.1007/s10455-016-9535-z

URL : https://hal.archives-ouvertes.fr/hal-01228823

W. Steklov, Sur lesprobì emes fondamentaux de la physique mathémnatique (suite et fin), Ann. Sci. ´ Ecole Norm. Sup, issue.3, pp.319-455, 1902.

G. Wei and &. W. Wylie, Comparison Geometry for the Bakry-´ Emery Ricci curvature, J. Diff
DOI : 10.4310/jdg/1261495336

URL : http://arxiv.org/abs/0706.1120

C. Xia and &. Q. Wang, Eigenvalues of the Wentzell-Laplace Operator and of the Fourth Order Steklov Problems

P. Yang and &. X. Xu, Positivity of Paneitz operators, Discrete Cont, Dyn. Syst, vol.7, issue.2, p.329342, 2001.