Solutions of superlinear elliptic equations and their morse indices
Abbas Bahri, Pierre‐Louis Lions · Communications on Pure and Applied Mathematics · 1992
Abstract 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.