A Kohn-Nirenberg type domain in Cⁿ

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS（2023）

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摘要

In this paper, we consider a Kohn-Nirenberg type domain Omega = {(z(1), ... , z(n)) is an element of C-n : Re z(n)+Sigma(n-1) (j=1) (|z(j)|(p)+K-j|z(j)|Rep-q z(j)(q)+L-j|z(j)|(p-q) Imz(j)(q))<0} and discuss the existence of supporting surface and peak function at the origin.

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关键词

Peak function,supporting surface,Kohn-Nirenberg domain

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A Kohn-Nirenberg type domain in Cn

A Kohn-Nirenberg type domain in Cⁿ