Geodesic
Non-existence result for quasi-linear elliptic equations with supercritical growth
Commentationes Mathematicae Universitatis Carolinae, Tome 48 (2007) no. 3, pp. 417-430

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We obtain a non-existence result for a class of quasi-linear eigenvalue problems when a parameter is small. By using Pohozaev identity and some comparison arguments, non-existence theorems are established for quasi-linear eigenvalue problems under supercritical growth condition.
Classification : 35B25, 35J20, 35J25, 35J60, 35J62, 35J65, 35P30
Keywords: quasi-linear elliptic equations; non-existence; large solution; small solution 
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     title = {Non-existence result for quasi-linear elliptic equations with supercritical growth},
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     zbl = {1199.35110},
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     url = {http://geodesic.mathdoc.fr/item/CMUC_2007__48_3_a3/}
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Yang, Zuodong; Yuan, Junli. Non-existence result for quasi-linear elliptic equations with supercritical growth. Commentationes Mathematicae Universitatis Carolinae, Tome 48 (2007) no. 3, pp. 417-430. http://geodesic.mathdoc.fr/item/CMUC_2007__48_3_a3/