Uniqueness of solutions for the boundary value problem of certain nonlinear elliptic operators via p-harmonic boundary
- 주제(키워드) A-harmonic function , Boundary value problem , P-harmonic boundary
- 후원정보 Ministry of Education, Science and Technology
- 등재 SCOPUS, KCI등재
- 발행기관 Korean Mathematical Society
- 발행년도 2017
- URI http://www.dcollection.net/handler/ewha/000000155878
- 본문언어 영어
- Published As http://dx.doi.org/10.4134/CKMS.c160233
- 저작권 이화여자대학교 논문은 저작권에 의해 보호받습니다.
초록/요약
We prove the uniqueness of solutions for the boundary value problem of certain nonlinear elliptic operators in the setting: Given any continuous function f on the p-harmonic boundary of a complete Riemannian manifold, there exists a unique solution of certain nonlinear elliptic operators, which is a limit of a sequence of solutions of the operators with finite energy in the sense of supremum norm, on the manifold taking the same boundary value at each p-harmonic boundary as that of f. © 2017 Korean Mathematical Society.
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