Alziary, Bénédicte and Fleckinger, Jacqueline (2017) Blow up of the solutions to a linear elliptic system involving schrödinger operators. TSE Working Paper, n. 17-797, Toulouse

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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.

Item Type: Monograph (Working Paper)
Language: English
Date: April 2017
Place of Publication: Toulouse
Uncontrolled Keywords: Maximum Principle, Antimaximum Principle, Elliptic Equation and Systems, Cooperative and Non-cooperative Systems, Principle Eigenvalue
Subjects: B- ECONOMIE ET FINANCE
Divisions: Institut de mathématiques de Toulouse, TSE-R (Toulouse)
Institution: Université Toulouse 1 Capitole
Site: UT1
Date Deposited: 20 Apr 2017 09:54
Last Modified: 11 Sep 2023 12:09
OAI Identifier: oai:tse-fr.eu:31627
URI: https://publications.ut-capitole.fr/id/eprint/23716
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