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math.CV2019★ 2 cited
The Diederich--Fornæss index and the regularities on the -Neumann problem
Bingyuan Liu
We show, under an assumption on the weakly pseudoconvex points, the trivial Diederich--Fornæss index directly implies the global regularities of the -Neumann operat…
math.CV2019★ 2 cited
The -Neumann operator with the Sobolev norm of integer orders
Phillip Harrington, Bingyuan Liu
Let be a bounded pseudoconvex domain with smooth boundary. For each , we give a sufficient condition to estimate the -Neumann o…