TITLE

# Index theory for linear selfadjoint operator equations and nontrivial solutions for asymptotically linear operator equations

AUTHOR(S)
Yujun Dong
PUB. DATE
May 2010
SOURCE
Calculus of Variations & Partial Differential Equations;May2010, Vol. 38 Issue 1/2, p75
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
We develop index theories for linear selfadjoint operator equations and investigate multiple solutions for asymptotically linear operator equations. The operator equations consist of two kinds: the first has finite Morse index and can be used to investigate second order Hamiltonian systems and elliptic partial differential equations; the second may have infinite Morse index and can be used to investigate first order Hamiltonian systems.
ACCESSION #
49024226

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