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

Bénédicte Alziary () and Jacqueline Fleckinger ()
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Bénédicte Alziary: TSE-R - Toulouse School of Economics - UT Capitole - Université Toulouse Capitole - Comue de Toulouse - Communauté d'universités et établissements de Toulouse - EHESS - École des hautes études en sciences sociales - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement
Jacqueline Fleckinger: TSE-R - Toulouse School of Economics - UT Capitole - Université Toulouse Capitole - Comue de Toulouse - Communauté d'universités et établissements de Toulouse - EHESS - École des hautes études en sciences sociales - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement

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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 (search for similar items in EconPapers)
Date: 2026-01-23
Note: View the original document on HAL open archive server: https://hal.science/hal-05474099v1
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