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math.GR2026
Invariable Generation of Groups of Homeomorphisms
Neelam, Davide Perego, Matteo Tarocchi
We provide a sufficient condition for a group of homeomorphisms of a compact Hausdorff space to be non-invariably generated, generalizing previous results proved using the dynamics…
math.AP2026
Revisiting Fazly-Wei-Xu pointwise estimates for the fourth-order Hénon equation via Bernstein's technique
Quôc Anh Ngô, Trung Nguyen
In a remarkable work published in Analysis and PDE 8 (2015) 1541-1563, M. Fazly, J. Wei, and X. Xu establish the following pointwise estimate \[-Δu \geq \frac 2{n-4} \frac{|\nabla…