### Existence and multiplicity of solutions for class of navier boundary (p(x),q(x))-biharmonic systems

#### Abstract

This article deals with the existence and multiplicity of weak solutions to nonlinear differential

equations involving a general $p(x)-$biharmonic operator ( in particular, $p(x)-$biharmonic

operator). Our approach

is mainly based on variational arguments.

#### Keywords

#### Full Text:

PDF#### References

bibitem{ay}

A. Ayoujil, A. El Amrouss, Multiple solutions for a Robin problem involving the

$p(x)-$biharmonic operator, Annals of the University of Craiova, Mathematics,

Volume 44(1), 2017, 87-93.

bibitem{Br}

M. Boureanu, V. Radulescu, D. Repovs, On a $(p(cdot))$-biharmonic problem with no-flux boundary condition. Comput. Math. Appl. 72, (2016) 2505-2515.

B. Ge, Q. Zhou, Continuous spectrum of a fourth order nonhomogeneous differential

operators with variable exponent, Electronic Journal of Qualitative Theory of Differential Equations 2013, No. 18, 1-11.

Z. Zhou, On a $(p(x))-$biharmonic problem with Navier boundary condition, Boundary Value Problems (20182018:149 (//doi.org/10.1186/s13661-018-1071-2).

DOI: http://dx.doi.org/10.24193/subbmath.2020.2.05

### Refbacks

- There are currently no refbacks.