Symmetry and monotonicity of positive solutions to Schr(o)dinger systems with fractional p-Laplacians

• 作者: MA Ling-wei ZHANG Zhen-qiu
• 来源期刊: 高校应用数学学报B辑（英文版）
• 年，卷（期）: 2022,（1）
• 所属期刊栏目: Pages
• 页码范围: 52-72
• 页数: 21页
• 语种: 英文
• DOI: 10.3969/j.issn.1005-1031.2022.01.004

摘要

In this paper,we first establish narrow region principle and decay at infinity theo-rems to extend the direct method of moving planes for general fractional p-Laplacian systems.By virtue of this method,we investigate the qualitative properties of positive solutions for the following Schr(o)dinger system with fractional p-Laplacian{ (-Δ)spu+aup-1 =f(u,v),(-Δ)tpv+bvp-1=g(u,v),where 0 ＜ s,t ＜ 1and 2 ＜ p ＜ ∞.We obtain the radial symmetry in the unit ball or the whole space RN(N ≥ 2),the monotonicity in the parabolic domain and the nonexistence on the half space for positive solutions to the above system under some suitable conditions on f and g,respectively.