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

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

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.

Bibliographic Details
Main Authors: Shapour Heidarkhani, Ghasem A. Afrouzi, Shahin Moradi, Giuseppe Caristi
Format: Article
Language:English
Published: Texas State University 2017-01-01
Series:Electronic Journal of Differential Equations
Subjects:
p(x)-Laplace operator
variable exponent Sobolev spaces
variational method
critical point theory
Online Access:http://ejde.math.txstate.edu/Volumes/2017/25/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2017/25/abstr.html

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