Weighted estimates for quasilinear equations with BMO coefficients on Reifenberg flat domains and their applications

Analysis Seminar
Wednesday, November 10, 2010 - 3:00pm for 1 hour (actually 50 minutes)
Skiles 269
Nguyen Cong Phuc – LSU
Michael Lacey
We discuss a global weighted estimate for a class of divergence form elliptic operators with BMO coefficients on Reifenbergflat domains. Such an estimate implies new global regularity results in Morrey, Lorentz, and H\"older spaces for solutionsof certain nonlinear elliptic equations. Moreover, it can also be used to obtain a capacitary estimate to treat a measuredatum quasilinear Riccati type equations with nonstandard growth in the gradient.