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THREE SOLUTIONS TO A CLASS OF NEUMANN DOUBLY EIGENVALUE ELLIPTIC SYSTEMS DRIVEN BY A (p1, … , pn)-LAPLACIAN

Donal O'Regan|Shapour Heidarkhani|Ghasem A. Afrouzi
대한수학회 (The Korean Mathematical Society)|2010.11|대한수학회보 (Bulletin of the KMS)|제47권 제6호|pp. 1235-1250

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참고문헌

키워드

critical point(p1Neumann problemthree solutions…pn)-Laplacianmultiplicity results
주제분류수학

초록

In this paper we establish the existence of at least three weak solutions for Neumann doubly eigenvalue elliptic systems driven by a (p1, … , pn)-Laplacian. Our main tool is a recent three critical points theorem of B. Ricceri.

Abstract

In this paper we establish the existence of at least three weak solutions for Neumann doubly eigenvalue elliptic systems driven by a (p1, … , pn)-Laplacian. Our main tool is a recent three critical points theorem of B. Ricceri.

참고문헌 (23)

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  15. S. Heidarkhani, "Multiplicity results for a two-point boundary value problem, preprint", ~
  16. A. Kristály, "Existence of two non-trivial solutions for a class of quasilinear elliptic variational systems on strip-like domains", Proc. Edinb. Math. Soc., 48(2), pp.465~477 (2005)
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  18. S. A. Marano, "On a three critical points theorem for non-differentiable functions and applications to nonlinear boundary value problems", Nonlinear Anal., 48(1), pp.37~52 (2002)
  19. B. Ricceri, "Existence of three solutions for a class of elliptic eigenvalue problems", Math. Comput. Modelling, 32(11), pp.1485~1494 (2000)
  20. B. Ricceri, "On a three critical points theorem", Arch. Math. (Basel), 75(3), pp.220~226 (2000)
  21. B. Ricceri, "A three critical points theorem revisited", Nonlinear Anal., 70(9), pp.3084~3089 (2009)
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