Stable solutions of in

  • Louis Dupaigne

    Université Picardie Jules Verne, Amiens, France
  • Alberto Farina

    Université de Picardie Jules Verne, Amiens, France


Several Liouville-type theorems are presented for stable solutions of the equation in , where is a general convex, nondecreasing function. Extensions to solutions which are merely stable outside a compact set are discussed.

Cite this article

Louis Dupaigne, Alberto Farina, Stable solutions of in . J. Eur. Math. Soc. 12 (2010), no. 4, pp. 855–882

DOI 10.4171/JEMS/217