arXiv subjects

J Fleckinger

Publications and source records attributed to J Fleckinger.

2 recordsLinked to original sources

arXiv2019

Estimate of the validity interval for the Antimaximum Principle and application to a non-cooperative system

We are concerned with the sign of the solutions of non-cooperative systems when the parameter varies near a principal eigenvalue of the system. With this aim we give precise estimates of the validity interval for the Antimaximum Principle for an equation and an example. We apply these results to a non-cooperative system. Finally a counterexample shows that our hypotheses are necessary. The Maximum Principle remains true only for a restricted positive cone.

math.AP↗

arXiv2019

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

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.

math.AP↗