Work

Subextension and approximation of $m$-subharmonic functions with given boundary values

Year: 2025

Type: article

Abstract: UDC 517.5 We establish a result on subextension of $m$-subharmonic functions in the class $\mathcal{F}_m(\Omega,f)$ without changing the Hessian measures. As application, we approximate an $m$-subharmonic function with given boundary value by an increasing sequence of $m$-subharmonic functions defined in larger domains.

Source: Ukrains’kyi Matematychnyi Zhurnal

DOI: 10.3842/umzh.v77i2.8215

Authors: Hichame Amal, Ayoub El Gasmi

Institution: Université Ibn-Tofail

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4408972602

FWCI: 3.847

Cites:

Cited by: 2

Related to: 10