EXISTENCE OF FINITE-ENERGY SOLUTIONS FOR SEMILINEAR ELLIPTIC-SYSTEMS

Authors
MERCIER JM
Citation
Jm. Mercier, EXISTENCE OF FINITE-ENERGY SOLUTIONS FOR SEMILINEAR ELLIPTIC-SYSTEMS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 323(11), 1996, pp. 1169-1174
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
323
Issue
11
Year of publication
1996
Pages
1169 - 1174
Database
ISI
SICI code
0764-4442(1996)323:11<1169:EOFSFS>2.0.ZU;2-4
Abstract
We show that the only solution of R (epsilon(1), epsilon(2)) which are semi-linear elliptic systems treated in the full space R(3) for real valued (u, v) functions, is the trivial one. However, we show that the R(-1, -1) system admits solutions that are non trivial finite energy perturbations of the particular (a, 0) solution, with a not equal 0.