location: Current position: Home >> Scientific Research >> Paper Publications

Liouville theorem for weighted p-Lichnerowicz equation on smooth metric measure space

Hits:

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

Next One:GRADIENT ESTIMATES FOR THE p-LAPLACIAN LICHNEROWICZ EQUATION ON SMOOTH METRIC MEASURE SPACES