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Existence and
Uniqueness of
Weak Solution
for Nonlinear
Weighted (p; q)-Laplacian
System with
Application on
an Optimal
Control Problem
Salah A. Khafagy (1), Eada. A. El-Zahrani
(2) and
Hassan M. Serag
(3)
(1,3) Department
of Mathematics,
Faculty of
Science, Al-Azhar
University, Nasr
City (11884),
Cairo, Egypt
Email address:
(1)
salahabdlnaby.211@azhar.edu.eg
Email address:
(3)
serragghm@yahoo.com
(2) Department of
Mathematics, Faculty
of Science, Damma
University, Al-Damma,
Saudia Arabia
Email address:
eada11@hotmail.com
Doi :
https://doi.org/10.47013/15.4.13
Cited by :
Jordan J. Math &
Stat.,
15 (4A) (2022),
983 - 998
PDF
Received on:
Aug. 3, 2021;
Accepted
on: Feb. 13,
2022
Abstract. In this
paper, we prove
the existence
and uniqueness
results of weak
solution for
weighted (p, q)-Laplacian
system with
Dirichlet
boundary
condition.
The proof of the
results is made
by Browder
theorem method.
Also, the
optimal control
of the weighted
(p, q)-Laplacian
system will be
study as an
application.
Keywords: Weak solutions,
p-Laplacian,
optimal control.
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