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Existence of non-trivial nonnegative solutions ofthe one-dimensional p-Laplacian equation withnonlinear sources and nonlocal boundary condition

KE Yuan-yuan, HUANG Rui, WANG Chun-peng   

  1. Institute of Mathematics, Jilin University, Changchun 130012, China
  • Received:2004-04-20 Revised:1900-01-01 Online:2004-07-26 Published:2004-07-26
  • Contact: KE Yuan-yuan

Abstract: The present paper deals with the existence of non-trivial nonnegative solutions of a nonlocal boundary value problem for the p-Laplacian equation with nonlinear sources. The proof is based on the fixed point theorem in a cone.

Key words: nonlocal boundary value problem, non-trivial nonnegat ive solution, fixed point theorem in a cone

CLC Number: 

  • O175.8