Serdar Altuntas

most citedDerivation of a boundary monotonicity inequality for variationally biharmonic maps

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math.AP2019

Blow-up analysis and boundary regularity for variationally biharmonic maps

Serdar Altuntas, Christoph Scheven

We consider critical points $u : Ω \to N$ of the bi-energy \[ \int_Ω|Δu|^2\,d x, \] where $Ω \subset R^{m}$ is a bounded smooth domain of dimension $m \geq 5$ and $N\subset\mathbb{…

math.AP2017★ 1 cited

Derivation of a boundary monotonicity inequality for variationally biharmonic maps

Serdar Altuntas

We derive a boundary monotonicity formula for a class of biharmonic maps with Dirichlet boundary conditions. A monotonicity formula is crucial in the theory of partial regularity i…