2 papers
math.DG2026
Optimal geometric estimates for compact Kähler manifolds of a Nash entropy bound
Weiqi Zhang, Yashan Zhang
We prove Sobolev-type inequality and local volume noncollapsing with optimal exponents for compact Kähler manifolds of uniformly bounded -Nash entropy.
math.AP2024
Normalized solution for -Laplacian equation in exterior domain
Weiqiang Zhang, Yanyun Wen
We are devoted to the study of the following nonlinear -Laplacian Schrödinger equation with -norm constraint \begin{align*} \begin{cases} &-Δ_{p} u=λ|u|^{p-2}u +|u|^{r-2}…