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}
}

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.