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Nonexistence of positive solutions of quasilinear elliptic equations with singularity on the boundary in strip-like domains

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  • In this paper, we discuss the nonexistence of positive solutions for nonlinear elliptic equations with singularity on the boundary in infinite strip-like domains. The main results are the nonexistence in eigen-value and sub principal case and they are shown by giving an argument concerning the simplicity of the first eigenvalue for generalized eigenvalue problems combined with translation invariance of the domain. We also show another nonexistence result via a modified version of Pohozaev-type identity.
    Mathematics Subject Classification: Primary: 35J20;Secondary: 35J70.


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