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EXTRINSIC UPPER BOUNDS THE FIRST EIGENVALUE OF THE p-STEKLOV PROBLEM ON SUBMANIFOLDS

Abstract : We prove Reilly-type upper bounds for the first non-zero eigen-value of the Steklov problem associated with the p-Laplace operator on sub-manifolds with boundary of Euclidean spaces as well as for Riemannian products R × M where M is a complete Riemannian manifold.
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https://hal-upec-upem.archives-ouvertes.fr/hal-02466652
Contributor : Julien Roth Connect in order to contact the contributor
Submitted on : Thursday, April 7, 2022 - 8:13:45 AM
Last modification on : Wednesday, May 11, 2022 - 11:02:13 AM

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Julien Roth. EXTRINSIC UPPER BOUNDS THE FIRST EIGENVALUE OF THE p-STEKLOV PROBLEM ON SUBMANIFOLDS. Communications in Mathematics, University of Ostrava, In press, Volume 30 (2022), Issue 1, pp.49-61. ⟨10.46298/cm.9282⟩. ⟨hal-02466652v2⟩

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