Properties of a Class of p-Harmonic Functions
ABSTRACT AND APPLIED ANALYSIS, 2013 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası:
- Basım Tarihi: 2013
- Doi Numarası: 10.1155/2013/968627
- Dergi Adı: ABSTRACT AND APPLIED ANALYSIS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Bursa Uludağ Üniversitesi Adresli: Evet
Özet
A p times continuously differentiable complex-valued function F = u + iv in a domain D subset of C is p-harmonic if.. satisfies the p-harmonic equation. Delta...Delta f = 0, where p is a positive integer. By using the generalized Salagean differential operator, we introduce a class of p-harmonic functions and investigate necessary and sufficient coefficient conditions, distortion bounds, extreme points, and convex combination of the class.