Singular limit solutions for a 2-dimensional semilinear elliptic system of Liouville type in some general case

Sami Baraket; Soumaya Sâanouni; Nihed Trabelsi

doi:10.3934/dcds.2020069

Article Contents

2020, Volume 40, Issue 2: 1013-1063. Doi: 10.3934/dcds.2020069

This issue Previous Article The Maslov and Morse indices for Sturm-Liouville systems on the half-line Next Article Unlikely intersections over finite fields: Polynomial orbits in small subgroups

Singular limit solutions for a 2-dimensional semilinear elliptic system of Liouville type in some general case

1.
University of Tunis El Manar, Faculty of Sciences of Tunis, Department of Mathematics, Campus University 2092 Tunis, Tunisia
2.
University of Tunis El Manar, higher Institute of medical technologies of Tunis, 9 street Dr. Zouhair Essafi 1006 Tunis, Tunisia

^* Corresponding author: Nihed Trabelsi
^* Corresponding author: Nihed Trabelsi

Received: April 2019

Revised: September 2019

Published: November 2019

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Abstract

The existence of singular limit solutions are investigated by establishing a new Liouville type theorem for nonlinear elliptic system by using the Pohozaev type identity and the nonlinear domain decomposition method.

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Mathematics Subject Classification: 35J65, 53C21, 46E35, 65M55, 58J05.

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