Geodesic
Weighted estimates for nonhomogeneous quasilinear equations with discontinuous coefficients
Nguyen, Cong Phuc1
1 Department of Mathematics Louisiana State University 303 Lockett Hall Baton Rouge, LA 70803, USA
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 10 (2011) no. 1, pp. 1-17

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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 𝒞 1 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.

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Classification : 35R05, 35J92, 42B37, 35J15, 35J25, 42B25, 42B99

Nguyen, Cong Phuc 1

1 Department of Mathematics Louisiana State University 303 Lockett Hall Baton Rouge, LA 70803, USA 
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     title = {Weighted estimates for nonhomogeneous quasilinear equations with discontinuous coefficients},
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Nguyen, Cong Phuc. Weighted estimates for nonhomogeneous quasilinear equations with discontinuous coefficients. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 10 (2011) no. 1, pp. 1-17. http://geodesic.mathdoc.fr/item/ASNSP_2011_5_10_1_1_0/