1
Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, People's Republic of China.
2
Hunan Normal University of China
Abstract
The main aim of this paper is to introduce three classes $H^0_{p,q}$, $H^1_{p,q}$ and $TH^*_p$ of $p$-harmonic mappings and discuss the properties of mappings in these classes. First, we discuss the starlikeness and convexity of mappings in $H^0_{p,q}$ and $H^1_{p,q}$. Then establish the covering theorem for mappings in $H^1_{p,q}$. Finally, we determine the extreme points of the class $TH^*_{p}$.
Luo, Q., & Wang, X. (2012). The starlikeness, convexity, covering theorem and extreme points of p-harmonic mappings. Bulletin of the Iranian Mathematical Society, 38(3), 581-596.
MLA
Qiuhong Luo; Xiantao Wang. "The starlikeness, convexity, covering theorem and extreme points of p-harmonic mappings". Bulletin of the Iranian Mathematical Society, 38, 3, 2012, 581-596.
HARVARD
Luo, Q., Wang, X. (2012). 'The starlikeness, convexity, covering theorem and extreme points of p-harmonic mappings', Bulletin of the Iranian Mathematical Society, 38(3), pp. 581-596.
VANCOUVER
Luo, Q., Wang, X. The starlikeness, convexity, covering theorem and extreme points of p-harmonic mappings. Bulletin of the Iranian Mathematical Society, 2012; 38(3): 581-596.
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