Laure Cardoulis

Systems of Schrödinger Equations in the Whole Space

The paper is published: Rostocker Mathematisches Kolloquium, Rostock. Math. Kolloq. 65, 29 - 49 (2010)

MSC: 35J10   Schrödinger operator [See also 35Pxx]

Abstract:   We present in this paper results for the sign of the weak solutions of some elliptic systems defined in $\mathbb{R}^{N}$ involving Schrödinger operators with indefinite weight functions and with potentials which tend to infinity at infinity.

Keywords:   Schrödinger operators, indefinite weight, principal eigenvalue, positivity and negativity, maximum and antimaximum principles, existence of solutions
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