Multiple Solutions for a Class of Quasilinear Equations with Critical Exponential Growth
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作者:
Qin LI
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机构:
School of Statistics and Applied Mathematics, Anhui University of Finance and EconomicsSchool of Statistics and Applied Mathematics, Anhui University of Finance and Economics
Qin LI
[1
]
Zhen ZHI
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机构:
School of Mathematics Science, Nanjing Normal UniversitySchool of Statistics and Applied Mathematics, Anhui University of Finance and Economics
Zhen ZHI
[2
]
Zuodong YANG
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机构:
School of Teacher Education, Nanjing University of Information Science and TechnologySchool of Statistics and Applied Mathematics, Anhui University of Finance and Economics
Zuodong YANG
[3
]
机构:
[1] School of Statistics and Applied Mathematics, Anhui University of Finance and Economics
[2] School of Mathematics Science, Nanjing Normal University
[3] School of Teacher Education, Nanjing University of Information Science and Technology
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.