Existence result for quasilinear equations with gradient nonlinearities on the right
Dr. Karthik Adimurthi, Seoul National University
Mar 21, 2017
from 04:00 PM to 05:00 PM
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Abstract: In the past decade and half, Calderon zygmund theory with weights in Muckenhoupt weights have been vastly developed. While it is generally perceived as a technical extension, the weighted estimates encodes much more information about the equation. In this joint work with Nguyen Cong Phuc, we explore one such application by showing the existence of solution for certain quasilinear equations with gradient nonlinearity on the right. This result is new even for the linear case.