What is it about?
We give nonexistence results for a biharmonic equation with super-critical growth non-linearity and Dirichlet Boundary conditions.
Featured Image
Why is it important?
In mathematics, the biharmonic operator is a fourth-order partial differential equation which arises in areas of continuum mechanics, including linear elasticity theory. Dealing with Dirichlet boundary conditions, the problem is challenging since we lose the use of very useful mathematical tools such as the maximum principle.
Perspectives
Under our hypotheses, we prove non-existence results but for high dimensions. We don't know what happens for small dimensions. So, many open questions remain.
Dr Saïma Khenissy
University of Manouba
Read the Original
This page is a summary of: Biharmonic Equations Under Dirichlet Boundary Conditions with Supercritical Growth, Advanced Nonlinear Studies, January 2016, De Gruyter,
DOI: 10.1515/ans-2015-5028.
You can read the full text:
Contributors
The following have contributed to this page
