NONTRIVIAL SOLUTION OF A SEMILINEAR SCHRODINGER-EQUATION

Authors
TROESTLER C WILLEM M
Citation
C. Troestler et M. Willem, NONTRIVIAL SOLUTION OF A SEMILINEAR SCHRODINGER-EQUATION, Communications in partial differential equations, 21(9-10), 1996, pp. 1431-1449
Citations number
18
Categorie Soggetti
Mathematics,"Mathematics, Pure",Mathematics,Mathematics
Journal title
Communications in partial differential equations → ACNP
ISSN journal
03605302
Volume
21
Issue
9-10
Year of publication
1996
Pages
1431 - 1449
Database
ISI
SICI code
0360-5302(1996)21:9-10<1431:NSOASS>2.0.ZU;2-2
Abstract
This paper deals with strongly indefinite functionals whose gradients are Fredholm operators of index 0 and map weakly convergent sequences to weakly convergent sequences. We show bow these results apply to a Z (N)-invariant semilinear Schrodinger equation on R(N).