3 papers
math.AP2026
Power convexity of solutions to complex Monge-Ampère equation in
Wei Zhang, Qi Zhou
The convexity of solutions to boundary value problems for fully nonlinear elliptic partial differential equations (such as real or complex -Hessian equations) is a challenging t…
math.AP2025
A Liouville theorem for the -Hessian equation on the Heisenberg group
Wei Zhang, Qi Zhou
In this paper, we prove a Liouville theorem for the -Hessian equation on the Heisenberg group . The result is obtained by choosing a suitable test function and usi…
math.AP2025
The log-concavity of eigenfunction to complex Monge-Ampère operator in
Wei Zhang, Qi Zhou
Following the authors' recent work \cite{Zhang-Zhou2025}, we further explore the convexity properties of solutions to the Dirichlet problem for the complex Monge-Ampère operator.…