Laure Cardoulis
Existence of solutions for non necessarily cooperative systems involving Schr\"{o}dinger operators
The paper is published: Rostocker Mathematisches Kolloquium, Rostock. Math. Kolloq. [56], [9]-[24]([2002])

MSC:

35-XX Partial differential equations

35J10 Schrodinger operator, See also {35Pxx}

35J45 General theory of elliptic systems of PDE

Abstract: We study the existence of a solution for a non necessarily
cooperative system of n equations involving Schr\"{o}dinger
operators defined on $\Rset^{N}$ and we study also a limit case (the Fredholm
Alternative). We derive results for semilinear systems.
Keywords: Schr\"{o}dinger operators, M-matrices, non necessarily cooperative systems