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Critical quasilinear equations with singular potentials via perturbation method

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Abstract

In this paper, we consider the existence of solutions for critical quasilinear equations with singular potentials via perturbation method. We apply the generalization of Lions-type theorem to overcome the non-compactness problem.

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Correspondence to Hongxia Shi.

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Communicated by Michael Kunzinger.

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H. Shi is supported by the Natural Science Foundation of Hunan Province (Grant No.2019JJ50096).

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Su, Y., Shi, H. Critical quasilinear equations with singular potentials via perturbation method. Monatsh Math 199, 627–644 (2022). https://doi.org/10.1007/s00605-022-01747-5

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  • DOI: https://doi.org/10.1007/s00605-022-01747-5

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