Xu-jia Wang

collaborators

3 papers

math.AP2025

A new minimax principle and application to the p-Laplace equation

Xu-Jia Wang, Xinyue Zhang

We introduce a new minimax principle to prove the existence of multi-peak solutions to the Neumann problem of the $p$ -Laplace equation $$ -\varepsilon^p Î_p u = u^{q-1} - u^{p-1}…

math.AP2025

Limiting shape of the $L_{p}$ -Minkowski problem

Shi-Zhong Du, Xu-Jia Wang, Baocheng Zhu

Ben Andrews classified the limiting shape for isotropic curvature flow corresponding to the solutions of the $L_{p}$ -Minkowski problem as $p \to - \infty$ in the planar case. In this pa…

math.DG2024

Regularity of the $p$ -Gauss curvature flow with flat side

Genggeng Huang, Xu-Jia Wang, Yang Zhou

We study the regularity of the $p$ -Gauss curvature flow with flat side. In our previous paper(arxiv:2403.12292), we obtained the regularity of the interface, namely the boundary of…

A new minimax principle and application to the p-Laplace equation

Limiting shape of the Lp​-Minkowski problem

Regularity of the p-Gauss curvature flow with flat side

Limiting shape of the $L_{p}$ -Minkowski problem

Regularity of the $p$ -Gauss curvature flow with flat side