Existence of one weak solution for p(x)-biharmonic equations with Navier boundary conditions

S. Heidarkhani,G. Caristi,S. Moradi,Bin Ge,G. A. Afrouzi

doi:10.1007/s00033-016-0668-5

Existence of one weak solution for p(x)-biharmonic equations with Navier boundary conditions

S. Heidarkhani, G. Caristi + Show 3 more

https://doi.org/10.1007/s00033-016-0668-5

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Journal: Zeitschrift f\xfcr angewandte Mathematik und Physik	Publication Date: May 21, 2016
Citations: 24

Affiliation: Razi University, University of Messina, University of Mazandaran, Harbin Engineering University

#Navier Boundary Conditions #Biharmonic Operator + Show 8 more

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Abstract

We study the existence of at least one weak solution for a class of elliptic Navier boundary value problems involving the p(x)-biharmonic operator. Our technical approach is based on variational methods. In addition, an example to illustrate our results is given.

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