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A quasilinear elliptic equation with critical growth on compact Riemannian manifold

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Abstract

In this paper we deal with a quasilinear elliptic equation involving a critical nonlinearity and a lower order perturbation on a compact Riemannian manifold. With the help of critical point theory and some analysis techniques, we prove the existence of a positive solution under certain assumptions.

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Acknowledgements

This work is supported by NNSF Grant of China (Nos. 11771342 and 11571259).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China

    Nanbo Chen & Xiaochun Liu

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  1. Nanbo Chen
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  2. Xiaochun Liu
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Correspondence to Nanbo Chen.

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Chen, N., Liu, X. A quasilinear elliptic equation with critical growth on compact Riemannian manifold. J. Pseudo-Differ. Oper. Appl. 10, 975–997 (2019). https://doi.org/10.1007/s11868-018-0267-7

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  • DOI: https://doi.org/10.1007/s11868-018-0267-7

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