A sharpLq-Liouville theorem forp-harmonic functions

@article{Holopainen2000AST,
  title={A sharpLq-Liouville theorem forp-harmonic functions},
  author={Ilkka Holopainen},
  journal={Israel Journal of Mathematics},
  year={2000},
  volume={115},
  pages={363-379}
}
  • Ilkka Holopainen
  • Published 2000
  • Mathematics
  • Israel Journal of Mathematics
  • We studyLq-Liouville properties of nonnegativep-superharmonic and, respectively,p-subharmonic functions on a complete Riemannian manifoldM. In particular, we prove that everyp-harmonic functionu ∈Lq (M) is constant ifq>p−1. 

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