Ghasem A. Afrouzi, Saeid Shokooh
Abstract:
By using critical point theory, we establish the existence of
infinitely many weak solutions for a class of Navier boundary-value
problem depending on two parameters and involving the p(x)-biharmonic
operator. Under an appropriate oscillatory behaviour of the nonlinearity
and suitable assumptions on the variable exponent, we obtain
a sequence of pairwise distinct solutions.
Submitted June 16, 2015. Published December 28, 2015.
Math Subject Classifications: 35D05, 34B18, 35J60.
Key Words: Ricceri's variational principle; infinitely many solutions;
Navier condition; p(x)-biharmonic operator.
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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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Saeid Shokooh Department of Mathematics Faculty of Mathematical Sciences University of Mazandaran, Babolsar, Iran email: saeid.shokooh@stu.umz.ac.ir |
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