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Non-existence result for quasi-linear elliptic equations with supercritical growth

Zuo Dong Yang; Junli Yuan — 2007

Commentationes Mathematicae Universitatis Carolinae

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.

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