A BOUND ON HOLDER REGULARITY FOR partial derivative-EQUATION ON PSEUDOCONVEX DOMAINS IN C-n WITH SOME COMPARABLE EIGENVALUES OF THE LEVI-FORM
- 주제(키워드) 도움말 Holder estimates of partial derivative , finite type , comparable Levi-forms
- 발행기관 KOREAN MATHEMATICAL SOC
- 발행년도 2021
- 총서유형 Journal
- 본문언어 영어
초록/요약 도움말
Let Omega be a smoothly bounded pseudoconvex domain in C-n and assume that the (n - 2)-eigenvalues of the Levi-form are comparable in a neighborhood of z(0) is an element of b Omega. Also, assume that there is a smooth 1-dimensional analytic variety V whose order of contact with b Omega at z(0) is equal to eta and Delta(n-2) (z(0)) < infinity. We show that the maximal gain in Holder regularity for solutions of the partial derivative-equation is at most 1/eta.
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