Singular limits for the bi-Laplacian operator with exponential nonlinearity in

  • Monica Musso

    Departamento de Matemática, Pontificia Universidad Católica de Chile, Avenida Vicuna Mackenna 4860, Macul, Santiago, Chile, Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi, 24, 10129 Torino, Italy
  • Mónica Clapp

    Instituto de Matemáticas, Universidad Nacional Autónoma de México, Circuito Exterior, C.U., 04510 México DF, Mexico
  • Claudio Muñoz

    Departamento de Ingeniería Matemática, Universidad de Chile, Casilla 170, Correo 3, Santiago, Chile

Abstract

Let Ω be a bounded smooth domain in such that for some integer its d-th singular cohomology group with coefficients in some field is not zero, then problem

has a solution blowing-up, as , at m points of Ω, for any given number m.

Cite this article

Monica Musso, Mónica Clapp, Claudio Muñoz, Singular limits for the bi-Laplacian operator with exponential nonlinearity in . Ann. Inst. H. Poincaré Anal. Non Linéaire 25 (2008), no. 5, pp. 1015–1041

DOI 10.1016/J.ANIHPC.2007.09.002