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

Bénédicte Alziary (1) , Jacqueline Fleckinger (1)

1 IMT - Institut de Mathématiques de Toulouse UMR5219

We show how the solutions to a 2 × 2 linear system involving Schrödinger operators blow up as the parameter µ 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.

Domaines: Equations aux dérivées partielles [math.AP]

Bénédicte Alziary, Jacqueline Fleckinger. Blow up of the solutions to a linear elliptic system involving Schrödinger operators. Publicaciones del Seminario Matemático García Galdeano, 2018. ⟨hal-01960581⟩