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.
Show me the PDF file (269 KB), TEX file for this article.
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Shapour Heidarkhani Department of Mathematics Faculty of Sciences, Razi University 67149 Kermanshah, Iran email: s.heidarkhani@razi.ac.ir |
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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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Shahin Moradi Department of Mathematics Faculty of Mathematical Sciences University of Mazandaran Babolsar, Iran email: shahin.moradi86@yahoo.com |
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Giuseppe Caristi Department of Economics University of Messina, via dei Verdi, 75 Messina, Italy email: gcaristi@unime.it |
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