The Scientific World Journal (Jan 2013)

Existence of Multiple Solutions for a -Kirchhoff Problem with Nonlinear Boundary Conditions

  • Zonghu Xiu,
  • Caisheng Chen

DOI
https://doi.org/10.1155/2013/516093
Journal volume & issue
Vol. 2013

Abstract

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The paper considers the existence of multiple solutions of the singular nonlocal elliptic problem , , = , on , where , . By the variational method on the Nehari manifold, we prove that the problem has at least two positive solutions when some conditions are satisfied.