Nonexistence of positive solution for quasilinear elliptic problems in the half-space.
Non-existence result for quasi-linear elliptic equations with supercritical growth
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.