Time: Jun 16, 2026 10:00-11：00 AM

Speaker: Professor Emanuel Indrei （Kennesaw State University）

Title: The geometry of the free boundary

Zoom Meeting ID: 817 7000 8168（passcode: 260616）

Abstract: I will address the non-transversal intersection of the free boundary with the fixed boundary for nonlinear uniformly elliptic operators. The result solves a problem in elliptic theory that in the case of the Laplacian is completely understood but has remained arcane in the nonlinear setting in higher dimension. Also, I will discuss some new ideas which illuminate that the free boundary is C^1 in a neighborhood of the fixed boundary if the solution is physical and if n = 2 in the absolute general context. The regularity is even new for the Laplacian. The innovation is via geometric configurations on how free boundary points converge to the fixed boundary and the spacing between free boundary points.