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arXiv · 1901.03509

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

B Alziary·J Fleckinger
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Abstract

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

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B Alziary, J Fleckinger. 2019-01-11. Blow up of the solutions to a linear elliptic system involving Schr{\"o}dinger operators. https://arxiv.org/abs/1901.03509

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