Shibing Chen

activity

20102026

most citedGlobal regularity for the Monge-Ampère equation with natural boundary condition

10 citations · 29 across the 32 of their papers we have counts for

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Showing 2010Show all

2 papers · 1 filter

math.FA2010

A new family of sharp conformally invariant integral inequalities

Shibing Chen

We prove a one-parameter family of sharp integral inequalities for functions on the $n$ -dimensional unit ball. The inequalities are conformally invariant, and the sharp constants a…

math.AP2010

Sign changing solutions of some integral equaitons with critical sobolev exponents

Chen Shibing

In this note we prove that: \begin{theorem} for $2 \leq s < \frac{n}{2}$ or $1 \leq s < \frac{2 n}{n + 1}$ or $1 \leq s < \frac{n}{2}$ but n is even, $(- Δ)^{s} (u) = ∣ u ∣^{q - 2} u, q = \frac{2 n}{n - 2 s}$ …