English

Blow up of the solutions to a linear elliptic system involving Schr{\"o}dinger operators

Analysis of PDEs 2019-01-14 v1

Abstract

We show how the solutions to a 2×22\times2 linear system involving Schr{\"o}dinger operators blow up as the parameter μ\mu 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

Cite

@article{arxiv.1901.03509,
  title  = {Blow up of the solutions to a linear elliptic system involving Schr{\"o}dinger operators},
  author = {B Alziary and J Fleckinger},
  journal= {arXiv preprint arXiv:1901.03509},
  year   = {2019}
}