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Solutions of superlinear elliptic equations and their morse indices
Author(s) -
Bahri A.,
Lions P. L.
Publication year - 1992
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3160450908
Subject(s) - mathematics , morse code , morse theory , mathematical analysis , computer science , telecommunications
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.