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Ground state solutions for quasilinear Schr\”{o}dinger equations with critical Berestycki-Lions nonlinearities
  • Yanfang Xue,
  • Ming-chao Chen,
  • Jianxin Han
Yanfang Xue
Xinyang Normal University

Corresponding Author:[email protected]

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Ming-chao Chen
Xinyang Normal University
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Jianxin Han
Xinyang Normal University
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Abstract

We consider the quasilinear Schr\”{o}dinger equation involving a general nonlinearity at critical growth. By using Jeanjean’s monotonicity trick and the Pohozaev identity, we get the existence results which generalize an earlier work (Liu and Zhao, Commun. Pure Appl. Anal. 19: 3429-3444, 2020) about the subcritical case to the critical case.