TY  - Type of reference 
TI  - Sharp bounds for Steklov eigenvalues on star-shaped domains 
AU  - Sheela Verma 
AU  - G. Santhanam 
AB  - In this article, we consider Steklov eigenvalue problem on star-shaped bounded domain Ω in hypersurface of revolution and paraboloid, P = {(x, y, z) ∈ ℝ3 : z = x2 + y2}. A sharp lower bound is derived for all Steklov eigenvalues of Ω in terms of the Steklov eigenvalues of the largest geodesic ball contained in Ω with the same center as Ω. This work is a generalization of a result given by Kuttler and Sigillito (SIAM Rev 10:368 − 370, 1968) on a star-shaped bounded domain in ℝ2. 
DO  - 10.21494/ISTE.OP.2020.0544 
JF  - Advances in Pure and Applied Mathematics 
KW  - Laplacian,  Steklov eigenvalue problem,  Star-shaped domain,  Rayleigh quotient, Laplacian,  Steklov eigenvalue problem,  Star-shaped domain,  Rayleigh quotient,  
L1  - https://openscience.fr/IMG/pdf/iste_apam20v11n2_3.pdf 
LA  - en 
PB  - ISTE OpenScience 
DA  - 2020/09/3 
SN  - 1869-6090 
TT  - Sur les valeurs propres de Sketlov pour certains *-forme domaines 
UR  - https://openscience.fr/Sharp-bounds-for-Steklov-eigenvalues-on-star-shaped-domains 
IS  - Issue 2 (September 2020) 
VL  - 11 
ER  -