Abstract
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 Schrödinger operators − Δ + q(x)• defined in the entire space ℝN, with the potential q tending to +∞ at infinity. The systems are not necessarily cooperative.
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Alziary, B., Fleckinger, J., Takáč, P. (1999). Maximum and anti-maximum principles for some systems involving Schrödinger operators. In: Rossmann, J., Takáč, P., Wildenhain, G. (eds) The Maz’ya Anniversary Collection. Operator Theory: Advances and Applications, vol 110. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8672-7_2
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DOI: https://doi.org/10.1007/978-3-0348-8672-7_2
Publisher Name: Birkhäuser, Basel
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