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Affiliation of Author(s):理学院
Title of Paper:Liouville theorem for weighted p-Lichnerowicz equation on smooth metric measure space
Journal:JOURNAL OF DIFFERENTIAL EQUATIONS
Key Words:Weighted p-Lichnerowicz equation Positive solutions Liouville theorem
Abstract:In this paper, let (M-n, g, d mu) be n-dimensional noncompact metric measure space which satisfies Poincare inequality with some Ricci curvature condition. We obtain a Liouville theorem for positive weak solutions to weighted p-Lichnerowicz equation Delta(p,f)v+cv(sigma) = 0, where c <= 0, m > n >= 1, 1 < p < m-1+root(m-1)(m+3)/2, sigma <= p - 1 are real constants. (C) 2018 Elsevier Inc. All rights reserved.
ISSN No.:0022-0396
Translation or Not:no
Date of Publication:2019-04-15
Correspondence Author:zl