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Author:

Li, Dongsheng (Li, Dongsheng.) | Li, Zhisu (Li, Zhisu.)

Indexed by:

SCIE Scopus

Abstract:

We obtain global W-2,W-delta estimates for a type of singular fully nonlinear elliptic equations where the right hand side term belongs to L-infinity. The main idea of the proof is to slide paraboloids from below and above to touch the solution of the equation, and then to estimate the low bound of the measure of the set of contact points by the measure of the set of vertex points.

Keyword:

Global regularity Singular fully nonlinear elliptic equations Viscosity solutions W-2,W-delta estimates

Author Community:

  • [ 1 ] [Li, Dongsheng; Li, Zhisu] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China
  • [ 2 ] [Li, Dongsheng]Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China
  • [ 3 ] [Li, Zhisu]Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China

Reprint Author's Address:

  • Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China.

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Source :

MATHEMATISCHE ZEITSCHRIFT

ISSN: 0025-5874

Year: 2017

Issue: 3-4

Volume: 285

Page: 1167-1179

0 . 8 7 4

JCR@2017

0 . 9 6 4

JCR@2020

ESI Discipline: MATHEMATICS;

ESI HC Threshold:50

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 3

SCOPUS Cited Count: 3

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 3

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