On the p-Laplacian Lichnerowicz equation on compact Riemannian manifolds

Nanbo Chen; Xiaochun Liu

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arXiv · 2004.10779

On the p-Laplacian Lichnerowicz equation on compact Riemannian manifolds

Nanbo Chen·Xiaochun Liu

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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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Nanbo Chen, Xiaochun Liu. 2020-04-22. On the p-Laplacian Lichnerowicz equation on compact Riemannian manifolds. https://arxiv.org/abs/2004.10779

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