Local antimaximum principle for the Schrödinger operator in R N

Laure Cardoulis (1)

1 I2M - Institut de Mathématiques de Marseille

We consider in this paper equations defined in R N involving Schrödinger operators with indefinite weight functions and with potentials which tend to infinity at infinity. After recalling the existence of principal eigenvalues and the maximum principle, we study the local antimaximum principle.

Domaines: Equations aux dérivées partielles [math.AP]

Laure Cardoulis. Local antimaximum principle for the Schrödinger operator in R N. Rostocker Mathematisches Kolloquium, 2012, 67, pp.21-37. ⟨hal-03561959⟩