13 citations · 76 across the 28 of their papers we have counts for
20 papers · 1 filter
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 -Laplace equation $$ -\varepsilon^p Δ_p u = u^{q-1} - u^{p-1} \…
Limiting shape of the -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 -Minkowski problem as in the planar case. In this pa…
Long time regularity of the -Gauss curvature flow with flat side
G. Huang, X. -J. Wang, Y. Zhou
In this paper, we prove the long time regularity of the interface in the -Gauss curvature flow with flat side in all dimensions for . Here the interface is the bounda…
The -Minkowski problem with super-critical exponents
Qiang Guang, Qi-Rui Li, Xu-Jia Wang
The -Minkowski problem deals with the existence of closed convex hypersurfaces in with prescribed -area measures. It extends the classical Minkowski prob…
Regularity of free boundary for the Monge-Ampère obstacle problem
Genggeng Huang, Lan Tang, Xu-Jia Wang
In this paper, we prove the regularity of the free boundary in the Monge-Ampère obstacle problem By duality, the regularity of the free boundary is…
A priori estimate for the complex Monge-Ampere equation
Wang Jiaxiang, Wang Xu-jia, Zhou Bin
In this paper, we prove a Moser-Trudinger type inequality for pluri-subharmonic functions vanishing on the boundary. Our proof uses a descent gradient flow for the complex Monge-Am…