Abstract
AbstractThis paper aims to establish new upper bounds for the first positive eigenvalue of the Φ-Laplacian operator on Riemannian manifolds in terms of mean curvature and constant sectional curvature. The first eigenvalue for the Φ-Laplacian operator on closed oriented m-dimensional semislant submanifolds in a Sasakian space form
M
˜
2
k
+
1
(
ϵ
)
is estimated in various ways. Several Reilly-like inequalities are generalized from our findings for Laplacian to the Φ-Laplacian on semislant submanifolds in a sphere
S
2
n
+
1
with $\epsilon =1$
ϵ
=
1
and $\Phi =2$
Φ
=
2
.
Funder
King Khalid University
Deanship of Scientific Research, Princess Nourah Bint Abdulrahman University
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
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