In this talk we will discuss semistable solutions of the boundary value problem $Lu+f(u)=0$ in $\Omega$ and $u=0$ on $\partial\Omega$, where $Lu:=\partial_i(a^{ij}u_j)$ is uniformly elliptic.

# Differential Geometry & Geometric Analysis Seminar

The Differential Geometry and Geometry Analysis seminar sees talks most often about interactions between elliptic PDE's and differential geometry. Common topics include (but are not limited to) conformal geometry, minimal surfaces and other variational problems, K\"ahler geometry, CR geometry, elliptic problems from general relativity, nonlinear and/or nonlocal elliptic or parabolic PDE's, and geometric functional inequalities.

For more information about this seminar, contact Antonio Ache and Jeffrey Case.

**Please click on seminar title for complete abstract.**

##### A priori estimates for semistable solutions of semilinear elliptic equations

Johns Hopkins University

##### TBA - Lihe Wang

**Please note different day (Thursday) and time (4:30). **

University of Iowa

##### TBA - Jeff Viaclovsky

University of Wisconsin

##### TBA - Nefton Pali

Université Paris-Sud (Orsay