Derivation of a boundary monotonicity inequality for variationally biharmonic maps
Analysis of PDEs
2017-11-10 v1
Abstract
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 in super-critical dimensions. As a consequence of such a boundary monotonicity formula, one is able to show partial regularity for variationally biharmonic maps and full boundary regularity for minimizing biharmonic maps.
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Cite
@article{arxiv.1711.03348,
title = {Derivation of a boundary monotonicity inequality for variationally biharmonic maps},
author = {Serdar Altuntas},
journal= {arXiv preprint arXiv:1711.03348},
year = {2017}
}
Comments
33 pages, 0 figures