Bénédicte Alziary

Maximum and anti-maximum principles for some systems involving Schrödinger operators

We recall here some recent results on maximum and anti-maximum principles for some elliptic problems. Moreover, we give some new forms of extended maximum principle for elliptic systems involving Schrodinger operators − Δ + q(x)• defined in the entire space ℝ N , with the potential q tending to +∞ at infinity. The systems are not necessarily cooperative.