Existence of large solutions of a class of quasilinear elliptic equations with singular boundary |
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| Authors: | W Lei M Wang |
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| Institution: | 1. School of Mathematical Science, Xuzhou Normal University, Xuzhou, 221116, P. R. China
2. Science Research Center, Harbin Institute of Technology, Harbin, 150080, P. R. China
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| Abstract: | We study a class of quasilinear elliptic equations with boundary blow-up. Based on super and sub-solution arguments and certain comparison principle, we prove the existence of non-negative solutions of (1.1). Moreover, we show the existence of maximal and minimal non-negative solutions of (1.1). |
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