Continuous Solutions to the Complex m-Hessian Type Equation on Strongly m-Pseudoconvex Domains in Cn.

Autor: Van Quan, Vu
Zdroj: Results in Mathematics / Resultate der Mathematik; Jun2022, Vol. 77 Issue 3, p1-13, 13p
Abstrakt: In the paper, we are interested in studying the continuity of solution to the complex m-Hessian type equation χ (.) f d μ = (d d c.) m ∧ (d d c ‖ z ‖ 2 ) n - m , on a bounded strongly m-pseudoconvex domain Ω in C n . Namely, we give sufficient conditions which guarantee the existence of continuous solutions to this equation. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index