UNIQUENESS OF THE SOLUTION OF A STRICTLY COOPERATIVE NONLINEAR-SYSTEM

Authors
FLECKINGERPELLE J TAKAC P
Citation
J. Fleckingerpelle et P. Takac, UNIQUENESS OF THE SOLUTION OF A STRICTLY COOPERATIVE NONLINEAR-SYSTEM, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 319(5), 1994, pp. 447-450
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
319
Issue
5
Year of publication
1994
Pages
447 - 450
Database
ISI
SICI code
0764-4442(1994)319:5<447:UOTSOA>2.0.ZU;2-R
Abstract
We study positive weak solutions to the strictly cooperative system (S ) in Omega, a bounded domain in R(N). Here, np denotes the p-Laplacian , defined for p > 1 by Delta(p) u : = (\del u\(p-2)del u). For Omega a nd f(i) sufficiently regular and for f(i) strictly (p - 1)-subhomogene ous, we establish existence and uniqueness of the solution.