Three-spheres theorem for $$p$$ p -harmonic mappings
نویسندگان
چکیده
منابع مشابه
The starlikeness, convexity, covering theorem and extreme points of p-harmonic mappings
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 $TH^*_{p}$.
متن کاملthe starlikeness, convexity, covering theorem and extreme points of p-harmonic mappings
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 $th^*_{p}$.
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ژورنال
عنوان ژورنال: Calculus of Variations and Partial Differential Equations
سال: 2014
ISSN: 0944-2669,1432-0835
DOI: 10.1007/s00526-014-0775-0