Nonlinear Muckenhoupt-Wheeden type bounds on Reifenberg flat domains, with applications to quasilinear Riccati type equations

Authors

Nguyen Cong Phuc, Louisiana State University

Document Type

Article

Publication Date

1-5-2014

Abstract

A weighted norm inequality of Muckenhoupt-Wheeden type is obtained for gradients of solutions to a class of quasilinear equations with measure data on Reifenberg flat domains. This essentially leads to a resolution of an existence problem for quasilinear Riccati type equations with a gradient source term of arbitrary power law growth. © 2013 Elsevier Inc.

Publication Source (Journal or Book title)

Advances in Mathematics

First Page

387

Last Page

419

Recommended Citation

Phuc, N. (2014). Nonlinear Muckenhoupt-Wheeden type bounds on Reifenberg flat domains, with applications to quasilinear Riccati type equations. Advances in Mathematics, 250, 387-419. https://doi.org/10.1016/j.aim.2013.09.022