Separable -harmonic functions in a cone and related quasilinear equations on manifolds

  • Laurent Véron

    Université François Rabelais, Tours, France
  • Alessio Porretta

    Università di Roma, Italy

Abstract

In considering a class of quasilinear elliptic equations on a Riemannian manifold with nonnegative Ricci curvature, we give a new proof of Tolksdorf's result on the construction of separable p-harmonic functions in a cone.

Cite this article

Laurent Véron, Alessio Porretta, Separable -harmonic functions in a cone and related quasilinear equations on manifolds. J. Eur. Math. Soc. 11 (2009), no. 6, pp. 1285–1305

DOI 10.4171/JEMS/182