English

Representation formula and bi-Lipschitz continuity of solutions to inhomogeneous biharmonic Dirichlet problems in the unit disk

Complex Variables 2017-07-21 v1

Abstract

The aim of this paper is twofold. First, we establish the representation formula and the uniqueness of the solutions to a class of inhomogeneous biharmonic Dirichlet problems, and then prove the bi-Lipschitz continuity of the solutions.

Keywords

Cite

@article{arxiv.1707.06373,
  title  = {Representation formula and bi-Lipschitz continuity of solutions to inhomogeneous biharmonic Dirichlet problems in the unit disk},
  author = {Peijin Li and Saminathan Ponnusamy},
  journal= {arXiv preprint arXiv:1707.06373},
  year   = {2017}
}

Comments

24 pages; To appear in the Journal of Mathematical Analysis and Applications