Electron. J. Differential Equations, Vol. 2017 (2017), No. 25, pp. 1-15.

A variational approach for solving p(x)-biharmonic equations with Navier boundary conditions

Shapour Heidarkhani, Ghasem A. Afrouzi, Shahin Moradi, Giuseppe Caristi

Abstract:
In this article, we show the existence of at least three weak solutions for p(x)-biharmonic equations with Navier boundary conditions. The proof of the main result is based on variational methods. We also provide an example to illustrate our results.

Submitted May 22, 2016. Published January 23, 2017.
Math Subject Classifications: 35J20, 35J60.
Key Words: p(x)-Laplace operator; variable exponent Sobolev spaces; variational method; critical point theory.

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Shapour Heidarkhani
Department of Mathematics
Faculty of Sciences, Razi University
67149 Kermanshah, Iran
email: s.heidarkhani@razi.ac.ir
Ghasem A. Afrouzi
Department of Mathematics
Faculty of Mathematical Sciences
University of Mazandaran
Babolsar, Iran
email: afrouzi@umz.ac.ir
Shahin Moradi
Department of Mathematics
Faculty of Mathematical Sciences
University of Mazandaran
Babolsar, Iran
email: shahin.moradi86@yahoo.com
Giuseppe Caristi
Department of Economics
University of Messina, via dei Verdi, 75
Messina, Italy
email: gcaristi@unime.it

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