Multiple Solutions for Biharmonic Equations with Asymptotically Linear Nonlinearities

نویسندگان

  • Ruichang Pei
  • Kanishka Perera
چکیده

Ruichang Pei1, 2 1 Center for Nonlinear Studies, Northwest University, Xi’an 710069, China 2 Department of Mathematics, Tianshui Normal University, Tianshui 741001, China Correspondence should be addressed to Ruichang Pei, [email protected] Received 26 February 2010; Revised 2 April 2010; Accepted 22 April 2010 Academic Editor: Kanishka Perera Copyright q 2010 Ruichang Pei. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The existence of multiple solutions for a class of fourth elliptic equation with respect to the resonance and nonresonance conditions is established by using the minimax method and Morse theory.

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تاریخ انتشار 2010