A variational approach for solving p(x)-biharmonic equations with Navier boundary conditions
Date
2017-01-23
Authors
Heidarkhani, Shapour
Afrouzi, Ghasem Alizadeh
Moradi, Shahin
Caristi, Giuseppe
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
p(x)-Laplace operator, Variable exponent Sobolev spaces, Variational method, Critical point theory
Citation
Heidarkhani, S., Afrouzi, G. A., Moradi, S., & Caristi, G. (2017). A variational approach for solving p(x)-biharmonic equations with Navier boundary conditions. <i>Electronic Journal of Differential Equations, 2017</i>(25), pp. 1-15.
Rights
Attribution 4.0 International