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Existence and asymptotic behavior of radially symmetric ground states of quasi-linear singular elliptic equations |
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| Authors: | Junli Yuan Zuodong Yang |
| Institution: | a Institute of Mathematics, School of Mathematical Science, Nanjing Normal University, Jiangsu, Nanjing 210046, China b College of Zhongbei, Nanjing Normal University, Jiangsu, Nanjing 210046, China c School of Science, Nantong University, Jiangsu, Nantong 226007, China |
| Abstract: | Existence and asymptotic behavior of entire positive solutions of a class of quasi-linear elliptic equation  is obtained. Under several hypotheses on the ρ(x) and f(r), we obtain the existence of positive entire solution. Asymptotic behavior is discussed by constructing an upper solution. The results of this paper is new and extend previously known results. |
| Keywords: | Quasi-linear elliptic equation Entire solution Existence Asymptotic behavior |
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