arXiv:2004.10779 Abstract | arXiv Analytics

arXiv:2004.10779 [math.AP]Abstract References Reviews Resources

On the p-Laplacian Lichnerowicz equation on compact Riemannian manifolds

Published 2020-04-22Version 1

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 variational method, we obtain the non-existence, existence, and multiplicity results under some given assumptions.

Comments: 32 pages,2 figures. It has been accepted for publication in SCIENCE CHINA Mathematics

Categories: math.AP

Subjects: 58J05, 35J20

Keywords: compact riemannian manifolds, p-laplacian lichnerowicz equation, singular quasilinear critical elliptic equation, multiplicity results, lichnerowicz type

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