대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제47권6호
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  • Pages.1235-1250
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  • 2010
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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THREE SOLUTIONS TO A CLASS OF NEUMANN DOUBLY EIGENVALUE ELLIPTIC SYSTEMS DRIVEN BY A (p1,...,pn)-LAPLACIAN

  • Afrouzi, Ghasem A. (DEPARTMENT OF MATHEMATICS FACULTY OF BASIC SCIENCES UNIVERSITY OF MAZANDARAN) ;
  • Heidarkhani, Shapour (DEPARTMENT OF MATHEMATICS FACULTY OF BASIC SCIENCES RAZI UNIVERSITY) ;
  • O'Regan, Donal (DEPARTMENT OF MATHEMATICS NATIONAL UNIVERSITY OF IRELAND)
  • 투고 : 2009.04.14
  • 발행 : 2010.11.30
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초록

In this paper we establish the existence of at least three weak solutions for Neumann doubly eigenvalue elliptic systems driven by a ($p_1,\ldots,p_n$)-Laplacian. Our main tool is a recent three critical points theorem of B. Ricceri.

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참고문헌

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피인용 문헌

  1. Infinitely many solutions for class of Neumann quasilinear elliptic systems vol.2012, pp.1, 2012, https://doi.org/10.1186/1687-2770-2012-54
  2. EXISTENCE OF THREE SOLUTIONS FOR A CLASS OF NAVIER QUASILINEAR ELLIPTIC SYSTEMS INVOLVING THE (p1, …, pn)-BIHARMONIC vol.50, pp.1, 2013, https://doi.org/10.4134/BKMS.2013.50.1.057
  3. Multiple solutions for a class of $(p_1, \ldots, p_n)$-biharmonic systems vol.12, pp.3, 2013, https://doi.org/10.3934/cpaa.2013.12.1393
  4. Three solutions for a perturbed Navier problem vol.61, pp.1, 2012, https://doi.org/10.1007/s11587-011-0118-9
  5. Steklov-Neumann Eigenproblens: A Spectral Characterization of the Sobolev Trace Spaces vol.83, pp.1, 2015, https://doi.org/10.1007/s00032-015-0234-1