본문 바로가기
KERD
논문KCI 등재

MAXIMUM PRINCIPLE AND COMPARISON PRINCIPLE OF p-HARMONIC FUNCTIONS VIA p-HARMONIC BOUNDARY OF GRAPHS

이용하
대한수학회 (The Korean Mathematical Society)|2012.12|대한수학회보 (Bulletin of the KMS)|제49권 제6호|pp. 1241-1250

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

maximum principleboundary value problemcomparison principlep-harmonic functionp-harmonic boundary
주제분류수학

초록

We prove the maximum principle and the comparison prin-ciple of p-harmonic functions via p-harmonic boundary of graphs. By applying the comparison principle, we also prove the solvability of the boundary value problem of p-harmonic functions via p-harmonic bound-ary of graphs.

Abstract

We prove the maximum principle and the comparison prin-ciple of p-harmonic functions via p-harmonic boundary of graphs. By applying the comparison principle, we also prove the solvability of the boundary value problem of p-harmonic functions via p-harmonic bound-ary of graphs.

참고문헌 (3)

  1. I. Holopainen, "p-harmonic functions on graphs and manifolds", Manuscripta Math, 94(1), pp.95~110 (1997)
  2. J.-H. Kim, "Comparison principles for the p-Laplacian on nonlinear networks", J. Difference Equ. Appl, 16(1), pp.1151~1163 (2010)
  3. M. Yamasaki, "Ideal boundary limit of discrete Dirichlet functions", Hiroshima Math. J, 16(2), pp.353~360 (1986)

관련 논문AI추천

A NOTE ON COMPARISON PRINCIPLE FOR ELLIPTIC OBSTACLE PROBLEMS WITH L1-DATA송경, 윤영훈대한수학회 · 대한수학회보2023 · 제60권 제2호UNIQUENESS OF SOLUTIONS FOR THE BOUNDARY VALUE PROBLEM OF CERTAIN NONLINEAR ELLIPTIC OPERATORS VIA p-HARMONIC BOUNDARY이용하대한수학회 · 대한수학회논문집2017 · 제32권 제4호A maximum principle for non-negative zeroth order coefficient in some unbounded domains조성원강원경기수학회 · 한국수학논문집2018 · 제26권 제4호The exponential growth and decay properties for solutions to elliptic equations in unbounded cylindersChunqin Zhou, Lidan Wang, Lihe Wang대한수학회 · 대한수학회지2020 · 제57권 제6호A note on boundary blow-up problem of $\Delta u=u^p$김세익대한수학회 · 대한수학회보2019 · 제56권 제1호The boundary Harnack principle in H\"{o}lder domains with a strong regularity김혜진대한수학회 · 대한수학회보2016 · 제53권 제6호

이 간행물의 다른 논문 (18건)

CONSTANT-SIGN SOLUTIONS OF p-LAPLACIAN TYPE OPERATORS ON TIME SCALES VIA VARIATIONAL METHODSWeigao Ge, Li Zhangpp. 1131-1145COINCIDENCE THEOREMS FOR NONCOMPACT RC-MAPS IN ABSTRACT CONVEX SPACES WITH APPLICATIONSMing-ge Yang, Nan-Jing Huangpp. 1147-1161EINSTEIN HALF LIGHTLIKE SUBMANIFOLDS WITH SPECIAL CONFORMALITIES진대호, 송대진pp. 1163-1178DOUBLY NONLINEAR PARABOLIC EQUATIONS INVOLVING p-LAPLACIAN OPERATORS VIA TIME-DISCRETIZATION METHODSujin Kang, 신기연pp. 1179-1192GLOBAL STABILITY ANALYSIS FOR A CLASS OF COHEN-GROSSBERG NEURAL NETWORK MODELSYingxin Guopp. 1193-1198
원문 보기