# Solving Steklov problem for the bilaplacian

**URL:** <https://community.freefem.org/t/solving-steklov-problem-for-the-bilaplacian/792>\
**Category:** General Discussion\
**Created:** [February 10, 2021, 1:27pm UTC](https://community.freefem.org/t/solving-steklov-problem-for-the-bilaplacian/792 "2021-02-10T13:27:49Z")\
**Posts on this page:** 1\
**Page:** 1

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**Author:** ![BeniaminBogosel](https://avatars.discourse-cdn.com/v4/letter/b/3ec8ea/32.png) [@BeniaminBogosel](https://community.freefem.org/u/BeniaminBogosel)\
**Post date:** [February 10, 2021, 1:27pm UTC](https://community.freefem.org/t/solving-steklov-problem-for-the-bilaplacian/792/1 "2021-02-10T13:27:49Z")

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Hello,  
I was wondering if it is possible to solve the following problem in FreeFEM  
 ![Screenshot from 2021-02-10 14-28-14](https://canada1.discourse-cdn.com/flex030/uploads/freefem/original/1X/a261992a6de68992a3dc9f4ac8bfa5df0eca579c.png)  
in the space  
 ![Screenshot from 2021-02-10 14-29-22](https://canada1.discourse-cdn.com/flex030/uploads/freefem/original/1X/619b0a4775efe4f5f2c244231fb4cacb3e5f7570.png)

The variational formulation is  
 ![Screenshot from 2021-02-10 14-28-22](https://canada1.discourse-cdn.com/flex030/uploads/freefem/original/1X/18bdd2b8b824c8387f97566817540b42c756e98b.png)

I tried using Morley elements to try and solve this in 2D, but I get an error when imposing the Dirichlet boundary conditions on u only. It says that all elements of the vectorial finite element should be in the Dirichlet boundary condition.

Is there a way of solving the above problem in FreeFEM ? Thank you for your advice.