Laure Cardoulis

Local antimaximum principle for the Schrödinger operator in RN

The paper is published: Rostocker Mathematisches Kolloquium, Rostock. Math. Kolloq. 67, 21 - 37 (2012)

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

Abstract:   We consider in this paper equations defined in RN 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.

Keywords:   Schrödinger operator, indefinite weight, antimaximum principle


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