摘要

In this paper we deal with a nonlinear Neumann problem driven by the p-Laplacian and with a potential function which asymptotically at infinity is p-linear. Using variational methods based on critical point theory coupled with suitable truncation techniques, we prove a theorem establishing the existence of at least three nontrivial smooth solutions for the Neumann problem. For the semilinear case (i.e., p = 2) using Morse theory, we produce one more nontrivial smooth solution.

  • 出版日期2009-11
  • 单位中国人民解放军海军大连舰艇学院

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