Shengbing Deng

activity

20142026

most citedNormalized solutions for a Choquard equation with exponential growth in

R^{2}

12 citations · 19 across the 26 of their papers we have counts for

collaborators

Showing 2024 · math.APShow all

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math.AP2024

Gradient stability of Caffarelli-Kohn-Nirenberg inequality involving weighted p-Laplace

Shengbing Deng, Xingliang Tian

The best constant and extremal functions are well known of the following Caffarelli-Kohn-Nirenberg inequality \[ \int_{\mathbb{R}^N}|\nabla u|^p\frac{\mathrm{d}x}{|x|^μ}\geq \mathc…

math.AP2024

A note on the Lp-Sobolev inequality

Shengbing Deng, Xingliang Tian

The usual Sobolev inequality in $R^{N}$ , asserts that $∥\nabla u ∥_{L^{p} (R^{N})} \geq S ∥ u ∥_{L^{p^{*}} (R^{N})}$ for $1 < p < N$ and $p^{*} = \frac{pN}{N - p}$ ,…