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math.DG2026
Diffusion and reaction in the quasi-spherical equation: mean curvature deformations for fill-Ins
Wenlong Wang, Guodong Wei
We study the diffusion and reaction effects of Bartnik's quasi-spherical equation to deform boundary mean curvature in fill-in problems with scalar curvature bounded below. The dif…
math.DG2026
Quasi-linear equation on manifolds with integral bounded Ricci curvature and geometric applications
Youde Wang, Guodong Wei, Liqin Zhang
We study nonexistence results and gradient estimates for solutions of \[ Δ_p v + a v^{q}=0 \] defined on complete Riemannian manifolds satisfying a \emph{-type Sobolev inequalit…