Geodesic
Weighted estimates for nonhomogeneous quasilinear equations with discontinuous coefficients
Nguyen, Cong Phuc1
1Department 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 
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/
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     title = {Weighted estimates for nonhomogeneous quasilinear equations with discontinuous coefficients},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {1--17},
     year = {2011},
     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 10},
     number = {1},
     mrnumber = {2829320},
     zbl = {1228.35260},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ASNSP_2011_5_10_1_1_0/}
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