A monotonicity theorem and its applications to weighted elliptic equations

• 作 者: Kui Li Zhitao Zhang
• 机 构: SchoolofMathematicsandStatistics,AcademyofMathematicsandSystemsScience,SchoolofMathematicalSciences
• 出 处: 中国科学:数学英文版
• 发表日期: 2019年10期
• 关键词: MONOTONICITY THEOREM nonlinear ELLIPTIC WEIGHTED equation Liouville-type THEOREM
• 基金项目: supported by National Natural Science Foundation of China(Grant Nos.11771428,11331010,11688101 and 11571339).

We study the equation wtt + ?SN-1w-μwt-δw + h(t, ω)wp= 0,(t, ω) ∈ R × SN-1, and under some conditions we prove a monotonicity theorem for its positive solutions. Applying this monotonicity theorem,we obtain a Liouville-type theorem for some nonlinear