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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.
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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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