We obtain local and global estimates on weighted Lebesgue spaces with certain Muckenhoupt weights for solutions to a nonhomogeneous -Laplace type equation with coefficients in a domain. These estimates can be viewed as weighted norm inequalities for certain nonlinear singular operators (without any explicit kernel) arising from the -Laplacian, and are applicable to a quasilinear Riccati type equation.
@article{ASNSP_2011_5_10_1_1_0, author = {Nguyen, Cong Phuc}, title = {Weighted estimates for nonhomogeneous quasilinear equations with discontinuous coefficients}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {1--17}, publisher = {Scuola Normale Superiore, Pisa}, volume = {Ser. 5, 10}, number = {1}, year = {2011}, mrnumber = {2829320}, zbl = {1228.35260}, language = {en}, url = {http://www.numdam.org/item/ASNSP_2011_5_10_1_1_0/} }
TY - JOUR AU - Nguyen, Cong Phuc TI - Weighted estimates for nonhomogeneous quasilinear equations with discontinuous coefficients JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2011 SP - 1 EP - 17 VL - 10 IS - 1 PB - Scuola Normale Superiore, Pisa UR - http://www.numdam.org/item/ASNSP_2011_5_10_1_1_0/ LA - en ID - ASNSP_2011_5_10_1_1_0 ER -
%0 Journal Article %A Nguyen, Cong Phuc %T Weighted estimates for nonhomogeneous quasilinear equations with discontinuous coefficients %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2011 %P 1-17 %V 10 %N 1 %I Scuola Normale Superiore, Pisa %U http://www.numdam.org/item/ASNSP_2011_5_10_1_1_0/ %G en %F ASNSP_2011_5_10_1_1_0
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://www.numdam.org/item/ASNSP_2011_5_10_1_1_0/
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