On the p-Laplacian Lichnerowicz equation on compact Riemannian manifolds

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摘要 In this paper,we deal with a singular quasilinear critical elliptic equation of Lichnerowicz type involving the p-Laplacian operator.With the help of the subcritical approach from the variational method,we obtain the non-existence,existence,and multiplicity results under some given assumptions.

作者 Nanbo Chen Xiaochun Liu

机构地区 School of Mathematics and Statistics Hubei Key Laboratory of Computational Science

出处《Science China Mathematics》 SCIE CSCD 2021年第10期2249-2274,共26页 中国科学：数学（英文版）

基金 National Natural Science Foundation of China(Grant Nos.11771342 and 11571259) the Natural Science Foundation of Hubei Province(Grant No.2019CFA007)。

关键词 P-LAPLACIAN critical exponent negative exponent variational methods compact Riemannian manifold

分类号 O186.12 [理学—基础数学]

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共引文献1

1Liang ZHAO,Ming SHEN.Gradient Estimates for p-Laplacian Lichnerowicz Equation on Noncompact Metric Measure Space[J].Chinese Annals of Mathematics,Series B,2020,41(3):397-406.

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On the p-Laplacian Lichnerowicz equation on compact Riemannian manifolds

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