대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제51권1호
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  • Pages.99-113
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  • 2014
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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MULTIPLE SOLUTIONS FOR A p-LAPLACIAN SYSTEM WITH NONLINEAR BOUNDARY CONDITIONS

  • Zhou, Jun (School of Mathematics and Statistics Southwest University) ;
  • Kim, Chan-Gyun (Department of Mathematics College of William and Mary)
  • 투고 : 2012.11.14
  • 발행 : 2014.01.31
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⟨ 이전 논문 다음 논문 ⟩

초록

A nonlinear elliptic problem involving p-Laplacian and nonlinear boundary condition is considered in this paper. By using the method of Nehari manifold, it is proved that the system possesses two nontrivial nonnegative solutions if the parameter is small enough.

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참고문헌

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