Blow up of the solutions to a linear elliptic system involving schrödinger operators

Bénédicte Alziary Chassat and Jacqueline Fleckinger

No 17-797, TSE Working Papers from Toulouse School of Economics (TSE)

Abstract: We show how the solutions to a 2 X 2 linear system involving Schrödinger operators blow up as the parameter y tends to some critical value which is the principal eigenvalue of the system; here the potential is continuous positive with superquadratic growth and the square matrix of the system is with constant coefficients and may have a double eigenvalue.

Keywords: Maximum Principle; Antimaximum Principle; Elliptic Equation and Systems; Cooperative and Non-cooperative Systems; Principle Eigenvalue (search for similar items in EconPapers)
Date: 2017-04
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Persistent link: https://EconPapers.repec.org/RePEc:tse:wpaper:31627

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