An introduction to nonlinear potential theory
Abstract：The classical Newtonian potential theory of Laplace equation plays an important role in mathematics and mathematical physics. On the other hand, nonlinear PDE problems appear widely in modern geometry and physics. It is natural to develop the potential theory for nonlinear PDEs. In this series of talks, we will give an introduction to the nonlinear potential theory for some important divergence type equations, including p-Laplace equation, Hessian equations as well as curvature equations, etc.