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Jan 4, 2022 at 14:49 comment added username Sorry you are right I forgot.
Jan 4, 2022 at 14:46 comment added Luis Yanka Annalisc @username Thank you for your reply, but I find that in the proof of Giorhi-Nash-Moser theorem, we need to estimates functions like $ u^{+} $ the positive parts. However we can not define these for vector-valued functions when $ m\geq 2 $. That is one of the most important differences between the elliptic equations and the elliptic systems.
Jan 4, 2022 at 14:23 comment added Luis Yanka Annalisc @username Giorgi-Nash-Moser theorem requires that $ m=1 $.
Jan 4, 2022 at 12:42 history edited Luis Yanka Annalisc
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Jan 4, 2022 at 12:17 history asked Luis Yanka Annalisc CC BY-SA 4.0