8 papers
S-R3: Secure and Robust RIS-Assisted RSMA under Finite-Resolution Phase Shifts
Ibrahima Sory Diallo, Elhadj Moustapha Diallo, Wang Mi +2
This paper investigates a reconfigurable intelligent surface (RIS)-assisted rate-splitting multiple access (RSMA) downlink with imperfect eavesdropper channel state information and…
Isolated singularities of solutions to the Yamabe equation in higher dimensions II
Zheng-chao Han, Qinfeng Jiang, Hua-Yang Wang +2
This is the second of two papers on isolated singularities of positive solutions to the Yamabe equation on manifolds with nonflat background metrics. In the first paper, we proved…
Electrovacuum Black Hole Uniqueness
Qing Han, Marcus Khuri, Gilbert Weinstein +1
We prove the black hole uniqueness conjecture in the axially symmetric, stationary, electrovacuum setting, subject to the refined asymptotic analysis of the associated singular har…
Kerr Black Hole Uniqueness
Qing Han, Marcus Khuri, Gilbert Weinstein +1
We prove the black hole uniqueness conjecture in the axially symmetric, stationary vacuum setting: there is no regular, asymptotically flat equilibrium configuration with more than…
On some divergence-form singular elliptic equations with codimension-two boundary: -estimates
Jie Ji, Jingang Xiong
We establish a global weighted estimate for the gradient of the solution to a divergence-form elliptic equations, where the coefficients are in a weighted VMO space and the e…
The Mass-Angular Momentum Inequality for Multiple Black Holes
Qing Han, Marcus Khuri, Gilbert Weinstein +1
This is the second in a series of two papers to settle the conjectured mass-angular momentum inequality for multiple black holes. More precisely, we show that for a complete, simpl…
A dual Yamabe flow and related integral flows
Jingang Xiong
We study a family of nonlinear integral flows that involve Riesz potentials on Riemannian manifolds. In the Hardy-Littlewood-Sobolev (HLS) subcritical regime, we present a precise…
A fractional conformal curvature flow on the unit sphere
Xuezhang Chen, Pak Tung Ho
We study a fractional conformal curvature flow on the standard unit sphere and prove a perturbation result of the fractional Nirenberg problem with fractional exponent $σ\in (1/2,1…