Multiple Solutions for a Class of Quasilinear Equations with Critical Exponential Growth
Received:August 20, 2020  Revised:April 07, 2021
Key Word: multiple solutions   quasilinear equations   critical exponential growth  
Fund ProjectL: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).
Author NameAffiliation
Qin LI School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Anhui 233030, P. R. China 
Zhen ZHI School of Mathematics Science, Nanjing Normal University, Jiangsu 210023, P. R. China 
Zuodong YANG School of Teacher Education, Nanjing University of Information Science and Technology, Jiangsu 210044, P. R. China 
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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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