Geodesic
Regularity of a class of degenerate elliptic equations
Song, Qiaozhen1 ; Lu, Ying2 ; Shen, Jianzhong3 ; Wang, Lihe4
1 College of Science Xi’an Jiaotong University       Shaanxi, 710049, China
2 Business School Jilin University Jilin, 130012, China
3 College of Science Xi’an Jiaotong University Shaanxi, 710049, China
4 Department of Mathematics University of Iowa IA 52246, USA
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 10 (2011) no. 3, pp. 645-667

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In the present paper we establish the W 1,p type estimates for the weak solutions of a class of degenerate elliptic equations. The optimal estimates are obtained by introducing the intrinsic metric that is associated with the geometry of the operator and then using the compactness method.

Publié le :
Classification : 35J70, 35H20

Song, Qiaozhen 1 ; Lu, Ying 2 ; Shen, Jianzhong 3 ; Wang, Lihe 4

1 College of Science Xi’an Jiaotong University       Shaanxi, 710049, China
2 Business School Jilin University Jilin, 130012, China
3 College of Science Xi’an Jiaotong University Shaanxi, 710049, China
4 Department of Mathematics University of Iowa IA 52246, USA 
@article{ASNSP_2011_5_10_3_645_0,
     author = {Song, Qiaozhen and Lu, Ying and Shen, Jianzhong and Wang, Lihe},
     title = {Regularity of a class of degenerate elliptic equations},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {645--667},
     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 10},
     number = {3},
     year = {2011},
     mrnumber = {2905381},
     zbl = {1250.35115},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ASNSP_2011_5_10_3_645_0/}
}
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Song, Qiaozhen; Lu, Ying; Shen, Jianzhong; Wang, Lihe. Regularity of a class of degenerate elliptic equations. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 10 (2011) no. 3, pp. 645-667. http://geodesic.mathdoc.fr/item/ASNSP_2011_5_10_3_645_0/