On the p-Laplacian Lichnerowicz equation on compact Riemannian manifolds

preprint2020arXivOpen access

Abstract

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.

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