2 papers
math.AP2023
Double-tower Solutions for Higher Order Prescribed Curvature Problem
Yuan Gao, Yuxia Guo, Yichen Hu
We consider the following higher order prescribed curvature problem on \begin{equation*} D^m \tilde u=\widetilde{K}(y) \tilde u^{m^{*}-1} \quad \mbox{on} \ {\m…
math.AP2023
Existence and uniqueness of solutions to the Peierls-Nabarro model in anisotropic media
Yuan Gao, James M. Scott
We study the existence and uniqueness of solutions to the vector field Peierls-Nabarro model for curved dislocations in a transversely isotropic medium. Under suitable assumptions…