대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제50권1호
  • /
  • Pages.57-71
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  • 2013
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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EXISTENCE OF THREE SOLUTIONS FOR A CLASS OF NAVIER QUASILINEAR ELLIPTIC SYSTEMS INVOLVING THE (p1, …, pn)-BIHARMONIC

  • Li, Lin (School of Mathematics and Statistics Southwest University, Department of Science Sichuan University of Science and Engineering)
  • 투고 : 2011.03.12
  • 발행 : 2013.01.31
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초록

In this paper, we establish the existence of at least three solutions to a Navier boundary problem involving the ($p_1$, ${\cdots}$, $p_n$)-biharmonic systems. We use a variational approach based on a three critical points theorem due to Ricceri [B. Ricceri, A three critical points theorem revisited, Nonlinear Anal. 70 (2009), 3084-3089].

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참고문헌

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피인용 문헌

  1. Existence of Multiple Solutions for a Quasilinear Biharmonic Equation vol.2014, 2014, https://doi.org/10.1155/2014/370494