Ghasem A. Afrouzi, Maryam Mirzapour, Nguyen Thanh Chung
Abstract:
In this article, we study the following problem with Navier boundary
conditions
where
is a bounded domain in
with smooth boundary
,
.
and
are continuous
functions on
,
and
are parameters.
Using variational methods, we establish some existence and non-existence
results of solutions for this problem.
Submitted July 22, 2014. Published June 15, 2015.
Math Subject Classifications: 35J60, 35B30, 35B40.
Key Words: p(x)-Biharmonic; variable exponent; critical points;
minimum principle; fountain theorem; dual fountain theorem.
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Ghasem A. Afrouzi Department of Mathematics Faculty of Mathematical Sciences University of Mazandaran, Babolsar, Iran email: afrouzi@umz.ac.ir |
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Maryam Mirzapour Department of Mathematics Faculty of Mathematical Sciences University of Mazandaran, Babolsar, Iran email: mirzapour@stu.umz.ac.ir |
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Nguyen Thanh Chung Department of Mathematics, Quang Binh University 312 Ly Thuong Kiet, Dong Hoi Quang Binh, Vietnam email: ntchung82@yahoo.com |
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