Mathematical Sciences: Nonlinear Elliptic Equations and Systems from Geometry

[403629]陈：这项研究需要研究由黎曼流形调和映射的变分原理引起的一类偏微分方程的存在性和正则性。非紧致完全黎曼流形的情况将得到特别的关注，包括那些存在圆锥奇点的情况。该研究在材料理论中的数学物理和液晶领域具有潜在的应用前景。＊＊＊

9403629 Chen The research entails the study of existence and regularity of classes of partial differential equations arising from the variational principles derived from harmonic maps of Riemannian manifolds. The case of non-compact complete Riemannian manifolds will receive particular attention including those cases where conical singularities are present. The research has potential application to mathematical physics and liquid crystals in materials theory. ***