Solutions of superlinear elliptic equations and their morse indices

1992/10/01 by Abbas Bahri, A. Bahri, P. L. Lions +1 · 8 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Numerical methods in inverse problems

paper · doi:10.1002/cpa.3160450908

Abstract

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.

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