Frontiers in Mathematical Sciences
7th Conference University of Isfahan  January 13, 2020 
Title:
Nonlinear elliptic equations with gradient constraints
Speaker:
Mohammad Safdari, Sharif University of Technology
Date, Time, and Venue: Wednesday, January 1  11:4512:30  Hall 2
Abstract:
We consider nonlinear elliptic equations with gradient constraints, which arise from both variational and nonvariational formulations. Equations of this type appear in the theory of elasticity, the study of random surfaces, or stem from dynamic programming in many stochastic singular control problems. We do not assume any regularity about the constraints; so the constraints need not be C1 or strictly convex. We will show that the solution to these problems have the optimal W2,∞ regularity.
