A Necessary and Sufficient Condition for the Existence of Positive Solutions to the Singular p-Laplacian

  • Ravi P. Agarwal

    Texas A&M University, Kingsville, United States
  • Haishen Lü

    The Chinese Academy of Sciences, Beijing, China
  • Donal O'Regan

    National University of Ireland, Galway, Ireland

Abstract

This paper studies the boundary value problem

in the case . A necessary and sufficient condition for the existence of positive solutions and a sufficient condition for the existence of positive solutions are presented.

Cite this article

Ravi P. Agarwal, Haishen Lü, Donal O'Regan, A Necessary and Sufficient Condition for the Existence of Positive Solutions to the Singular p-Laplacian. Z. Anal. Anwend. 22 (2003), no. 3, pp. 689–709

DOI 10.4171/ZAA/1168