Mathematical Sciences: "Nonlinear partial differential equations and systems"

这个项目将研究椭圆方程的解 由多重对称积分导出的。 的议题 应强调的是， 正则性、孤立奇点和可去奇点 梯度估计，以及拟凸性与 秩一凸性 要研究的方程是几何学中的模型现象， 优化设计和非线性弹性。 因此，该项目 在数学和工程的各个分支中的应用。

This project will study solutions to elliptic equations derived from multiple integrals with symmetries. The topics to be emphasized are estimates up to the boundary, global regularity, isolated and removable singularities, apriori gradient estimates, and the relation between quasiconvexity and rank one convexity. The equations to be studied model phenomena in geometry, optimal design and nonlinear elasticity. Thus this project has applications in various branches of mathematics and engineering.