Multibump solutions for a class of Lagrangian systems slowly oscillating at infinity

Authors
Alessio, F Montecchiari, P
Citation
F. Alessio et P. Montecchiari, Multibump solutions for a class of Lagrangian systems slowly oscillating at infinity, ANN IHP-AN, 16(1), 1999, pp. 107-135
Citations number
31
Categorie Soggetti
Mathematics
Journal title
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
ISSN journal
02941449 → ACNP
Volume
16
Issue
1
Year of publication
1999
Pages
107 - 135
Database
ISI
SICI code
0294-1449(199901/02)16:1<107:MSFACO>2.0.ZU;2-G
Abstract
We prove the existence of infinitely many homoclinic solutions for a class of second order hamiltonian systems of the form -u + u = alpha(t)del W(u) w here W is superquadratic and (alpha) over dot(t) --> 0, 0 < lim inf alpha(t ) < lim sup alpha(t) as t --> +infinity. In fact we prove that such a kind of systems admit a "multibump" dynamics. (C) Elsevier, Paris.