4 papers · 1 filter
Positive solutions of power equations in planar corner domains
Hongtao Hu, Zhouyu Long, Hongzhe Tao +2
We study positive solutions of on bounded planar corner domains with zero boundary values away from the vertex. For negative-power absorption we identify the admissible i…
Sharp noncommutative Hilbert and Riesz inequalities: classification and spectral corrections
Zhouyu Long
For every , with , we determine the sharp Hilbert norm on and the sharp uniform bound $D_p=\…
A sharp two-disk bound for the second positive Neumann eigenvalue under a curvature upper bound
Meiqi Liu, Zhouyu Long, Wenming Zou
We prove the sharp two-disk comparison conjectured by Langford and Laugesen for the second positive Neumann eigenvalue under an upper Gaussian-curvature bound, and strengthen it to…
Cumulative angular cancellation in Maz'ya's endpoint inequalities
Zhouyu Long, Wenming Zou
We establish domain criteria for critical homogeneous potential inequalities in the plane. Assuming signed plane cancellation, uniform absolute summability of frozen annular moment…