Boundary blow-up solutions of cooperative systems

  • Louis Dupaigne

    LAMFA, CNRS UMR 6140, Université Picardie Jules Verne, 33, rue St Leu, 80039 Amiens, France
  • Olivier Goubet

    LAMFA, CNRS UMR 6140, Université Picardie Jules Verne, 33, rue St Leu, 80039 Amiens, France
  • Salomé Martínez

    Departamento de Ingeniería Matemática and CMM (CNRS UMI 2807), Universidad de Chile, Casilla 170/3, Correo 3, Santiago, Chile
  • Juan Dávila

    Departamento de Ingeniería Matemática and CMM (CNRS UMI 2807), Universidad de Chile, Casilla 170/3, Correo 3, Santiago, Chile

Abstract

We study the existence, uniqueness and boundary profile of nonnegative boundary blow-up solution to the cooperative system

in a smooth bounded domain of , where , are nondecreasing, nonnegative functions vanishing in and is a parameter.

Cite this article

Louis Dupaigne, Olivier Goubet, Salomé Martínez, Juan Dávila, Boundary blow-up solutions of cooperative systems. Ann. Inst. H. Poincaré Anal. Non Linéaire 26 (2009), no. 5, pp. 1767–1791

DOI 10.1016/J.ANIHPC.2008.12.003