Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2024 17 (4)
- Authors
- Sadullaev, Azimbay; Sharipov, Rasulbek
- Contact information
- Sadullaev, Azimbay: V. I. Romanovsky Institute of Mathematics of the Academy of Sciences of Uzbekistan National University of Uzbekistan Tashkent, Uzbekistan; OCRID: 0000-0003-4188-1732; Sharipov, Rasulbek: Urgench State University Urgench, Uzbekistan; OCRID: 0000-0002-3033-3047
- Keywords
- subharmonic functions; convex functions; m-convex functions; Borel measures; Hessians
- Abstract
In this work, we introduce the concept of maximal m-convex (m cv) functions and we solve the Dirichlet Problem with a given continuous boundary function for strictly m-convex domains D Rn. We prove that for the solution of the Dirichlet problem in the class m cv of functions, its Hessian Hnm+1 ! = 0 in the domain D
- Pages
- 519–527
- EDN
- EZQZAV
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/153001
Journal of Siberian Federal University. Mathematics & Physics / Maximal Functions and the Dirichlet Problem in the Class of m-convex Functions
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