| Multiple Solutions for a Class of Quasilinear Equations with Critical Exponential Growth |
| Received:August 20, 2020 Revised:April 07, 2021 |
| Key Words:
multiple solutions quasilinear equations critical exponential growth
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| Fund Project:Supported by the Natural Science Foundation of Anhui Province (Grant No.1808085QA15), the Scientific Research Project of Anhui University of Finance and Economics (Grant No.ACKYC19050) and the Natural Science Foundation of China (Grant No.11571093). |
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| Abstract: |
| In this paper, we consider a class of quasilinear equations involving a nonlinearity term having critical exponential growth. By using Mountain Pass Theorem, Ekeland's variational principle and inequalities of the type Trudinger-Moser, we obtain the existence of at least two positive weak solutions. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2021.05.006 |
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