Reference

Bénédicte Alziary Chassat, and Jacqueline Fleckinger, Blow up of the solutions to a linear elliptic system involving schrödinger operators, TSE Working Paper, n. 17-797, April 2017.

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;