@article{b509ed6069a54bb0b52154328c7e5ad2,

title = "Uniqueness of solutions of a certain nonlinear elliptic equation on riemannian manifolds",

abstract = "In this paper, we prove that if every bounded A-harmonic function on a complete Riemannian manifold M is asymptotically constant at infinity of p-nonparabolic ends of M, then each bounded A-harmonic function is uniquely determined by the values at infinity of p-nonparabolic ends of M, where A is a nonlinear elliptic operator of type p on M. Furthermore, in this case, every bounded A-harmonic function on M has finite energy.",

keywords = "A-harmonic function, End, Uniqueness, p-parabolicity",

author = "Lee, {Yong Hah}",

note = "Funding Information: Received October 20, 2017; Revised February 1, 2018; Accepted March 16, 2018. 2010 Mathematics Subject Classification. 58J05, 31B05. Key words and phrases. A-harmonic function, end, p-parabolicity, uniqueness. This research was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education, Science and Technology(2012006926). Publisher Copyright: {\textcopyright} 2018 Korean Mathematical Society.",

year = "2018",

doi = "10.4134/BKMS.b170913",

language = "English",

volume = "55",

pages = "1577--1586",

journal = "Bulletin of the Korean Mathematical Society",

issn = "1015-8634",

publisher = "Korean Mathematical Society",

number = "5",

}