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;
Replaces
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.
Reference
Bénédicte Alziary Chassat, and Jacqueline Fleckinger, “Blow up of the solutions to a linear elliptic system involving schrödinger operators”, in Fourteenth International Conference Zaragoza-Pau on Mathematics and its Applications, vol. 41, 2018, pp. 21–30, Mat. García Galdeano.
See also
Published in
Fourteenth International Conference Zaragoza-Pau on Mathematics and its Applications, vol. 41, 2018, pp. 21–30, Mat. García Galdeano