| Nontrivial Solutions for a Class of Quasilinear Elliptic Equations |
| Received:February 26, 2015 Revised:September 13, 2015 |
| Key Words:
Linking theorem Adams-type inequality subcritical polynomial growth subcritical exponential growth
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11561059), the Natural Science Foundation of Gansu Province (Grant No.1506RJZE114) and the Scientific Research Foundation of the Higher Education Institutions of Gansu Province (Grant No.2015A-131). |
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| Abstract: |
| The main purpose of this paper is to establish the existence results of one nontrivial solution (infinitely many nontrivial solutions) for a class of $p$-Laplacian equation with subcritical polynomial growth and subcritical exponential growth by using a linking theorem and the symmetric mountain pass theorem. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2016.01.011 |
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