Weighted estimates for nonhomogeneous quasilinear equations with discontinuous coefficients

Authors

Nguyen Cong Phuc, Louisiana State University

Document Type

Article

Publication Date

12-19-2011

Abstract

We obtain local and global W^{1, q} estimates on weighted Lebesgue spaces with certain Muckenhoupt weights for solutions to a nonhomogeneous p- Laplace type equation with VMO coefficients in a C¹ domain. These estimates can be viewed as weighted norm inequalities for certain nonlinear singular operators (without any explicit kernel) arising from the p-Laplacian, and are applicable to a quasilinear Riccati type equation.

Publication Source (Journal or Book title)

Annali Della Scuola Normale Classe Di Scienze

First Page

1

Last Page

17

Recommended Citation

Phuc, N. (2011). Weighted estimates for nonhomogeneous quasilinear equations with discontinuous coefficients. Annali Della Scuola Normale Classe Di Scienze, 10 (1), 1-17. Retrieved from https://repository.lsu.edu/mathematics_pubs/1598