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Resonance Problems Which Intersect Many Eigenvalues
Author(s) -
Schechter Martin
Publication year - 1997
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19971830113
Subject(s) - mathematics , eigenvalues and eigenvectors , infinity , dimension (graph theory) , operator (biology) , mathematical analysis , nonlinear system , space (punctuation)
We study semilinear problems in which the nonlinear part is linear at infinity but behaves like a function intersecting many of the eigenvalues of the linear operator. The asymptotic linear operator can have a null space of any finite dimension.
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