The best constant in a weighted Hardy-Littlewood-Sobolev inequality

By Wenxiong CHEN *, Congming LI #. 2007

76 citations recorded by the source corpus.

We prove the uniqueness for the solutions of the singular nonlinear PDE system: Formula math. In the special case when a = β and p = q, we classify all the solutions and thus obtain the best constant in the corresponding weighted Hardy-Littlewood-Sobolev inequality.

Subfields: Applied Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/01e5dd4348c6b1b15aab14c6ed78b52b8a58adf1

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In Applied Mathematics

1. Congming LI #
2. Wenxiong CHEN *
3. Yutian Lei
4. Chao Ma
5. Bobo Hua
6. Ruowei Li
7. Li Ma
8. Fengbo Hang

In Mechanics of Materials

1. Chao Ma
2. Congming LI #
3. Wenxiong CHEN *

Citations in the corpus

• The existence of extremal functions for discrete Sobolev inequalities on lattice graphs (2021, background): “2) as follows, see [6, 7, 8, 9, 10, 11, 12] for continuous setting and [13, 29] for discrete setting.”
• Regularity of solutions for an integral system of Wolff type (2011, background): “Then Chen and Li [4], and Li [19] simplified their proof.”
• Asymptotic radial symmetry and growth estimates of positive solutions to weighted Hardy–Littlewood–Sobolev system of integral equations (2012, background): “[6]).”
• Hardy–Littlewood–Sobolev and Stein–Weiss inequalities and integral systems on the Heisenberg group (2012, unknown): “In Chen and Li's paper [9], they studied the integral systems in this case.”