Liouville-type laws for quasilinear equations with absorption or source

被引：0
作者：
Li, Weiyang [1 ,2 ,3 ]
机构：
[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
[3] Mem Univ, Dept Math & Stat, St John, NF A1C 5S7, Canada
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2025年 / 542卷 / 01期
关键词：
m-Laplacian equation; Liouville type theorems; Radial supersolutions; Comparison principle; Gradient term; SEMILINEAR ELLIPTIC-EQUATIONS; P-LAPLACE EQUATION; POSITIVE SOLUTIONS; SINGULAR SOLUTIONS; LOCAL BEHAVIOR; BOUNDARY SINGULARITIES; GLOBAL PROPERTIES; NONEXISTENCE; THEOREMS; SUPERSOLUTIONS;
D O I：
10.1016/j.jmaa.2024.128889
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we are concerned with the Liouville-type theorems and the radial supersolutions for the m-Laplacian equations with absorption or source +/-|del u|(q) = Delta(m)u + f(p)(u). Here, q > 0 and f(p) satisfies either f(p)(s) > gamma s(p) near zero or equals to gamma s(p) for a positive constant pair {p, gamma}. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页数：38
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