Author

Zhi-Peng Yang

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Preprint Oct 2026

Sharp stability for mixed bubbles on hyperbolic space

We prove sharp residual stability estimates for the critical Poincar\'e-Sobolev equation near sums of one positive hyperbolic solution and one projected Euclidean bubble in dimensions at least four. The estimates are uniform in the relative positions of the centers. The sharp rate is linear except in dimension six, whe...

Jun-Cheng Wei, Ze-Tian Yan, Zhi-Peng Yang · 0 citations

Preprint Sep 2026

A Sharp Mass Threshold for Fractional Choquard Equations with Lower Hardy-Littlewood-Sobolev and \(L^2\)-Critical Terms

For \(\frac12\le s<1\), we study a fractional Choquard equation with prescribed mass and nonlinearities at the lower Hardy-Littlewood-Sobolev and \(L^2\)-critical exponents. The sharp Hardy-Littlewood-Sobolev and Choquard Gagliardo-Nirenberg inequalities determine an explicit critical mass \(a_*\). For \(0<a\le a_*\),...

Yong-Peng Chen, Zhi-Peng Yang · 0 citations