Advanced Studies in Pure Mathematics
- Adv. Stud. Pure Math.
- Potential Theory in Matsue, H. Aikawa, T. Kumagai, Y. Mizuta and N. Suzuki, eds. (Tokyo: Mathematical Society of Japan, 2006), 403 - 413
On the behavior at infinity for non-negative superharmonic functions in a cone
This paper shows that a positive superharmonic function on a cone behaves regularly outside an $\alpha$-minimally thin set in a cone. This fact is known for a half space which is a special cone.
Received: 30 May 2005
Revised: 1 December 2005
First available in Project Euclid: 16 December 2018
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 31B05: Harmonic, subharmonic, superharmonic functions
Secondary: 31B20: Boundary value and inverse problems
Yanagishita, Minoru. On the behavior at infinity for non-negative superharmonic functions in a cone. Potential Theory in Matsue, 403--413, Mathematical Society of Japan, Tokyo, Japan, 2006. doi:10.2969/aspm/04410403. https://projecteuclid.org/euclid.aspm/1544999707