UNIQUENESS OF SOLUTIONS OF A CERTAIN NONLINEAR ELLIPTIC EQUATION ON RIEMANNIAN MANIFOLDS
- 주제(키워드) A-harmonic function , end , p-parabolicity , uniqueness
- 주제(기타) Mathematics
- 설명문(일반) [Lee, Yong Hah] Ewha Womans Univ, Dept Math Educ, Seoul 03760, South Korea
- 등재 SCIE, SCOPUS, KCI등재
- 발행기관 KOREAN MATHEMATICAL SOC
- 발행년도 2018
- URI http://www.dcollection.net/handler/ewha/000000155877
- 본문언어 영어
- Published As http://dx.doi.org/10.4134/BKMS.b170913
- 저작권 이화여자대학교 논문은 저작권에 의해 보호받습니다.
초록/요약
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.
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