Solutions of superlinear elliptic equations and their morse indices

@article{Bahri1992SolutionsOS,
  title={Solutions of superlinear elliptic equations and their morse indices},
  author={A. Bahri and P. Lions},
  journal={Communications on Pure and Applied Mathematics},
  year={1992},
  volume={45},
  pages={1205-1215}
}
  • A. Bahri, P. Lions
  • Published 1992
  • Mathematics
  • Communications on Pure and Applied Mathematics
  • We consider here solutions of semilinear second-order elliptic equations with superlinear nonlinearities. And we present some relationships between their Morse Indices and some qualitative properties. In particular we show that for, “uo;subcritical” nonlinearities, bounds on solutions are equivalent to bounds on their Morse indices. 
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