Korean Journal of Mathematics

  • 제25권4호
  • /
  • Pages.495-511
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  • 2017
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  • 1976-8605(pISSN)
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  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
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MULTIPLICITY OF SOLUTIONS OF ELLIPTIC SYSTEM USING TWO CRITICAL POINT THEOREM

  • Nam, Hyewon (Department of General Education, Namseoul University)
  • 투고 : 2017.10.12
  • 심사 : 2017.12.01
  • 발행 : 2017.12.30
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초록

In this paper, we consider the system of three elliptic equations using two critical point theorem. We prove the existence of two solutions for suitable forcing terms, under a condition on the linear part which prevents resonance with eigenvalues of the operator.

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과제정보

연구 과제 주관 기관 : Namseoul University

참고문헌

  1. D.G. de Figueiredo and M. Ramos, On linear perturbations of superquadratic elliptic systems, in: Reaction Diffusion Systems(Triste, 1995), in: Lecture Notes in Pure and Appl.Math., vol. 194, Dekker, New York, 1998, pp.121-130.
  2. D.Lupo and A.M.Micheletti, Two applications of a three critical points theorem, J. Differential Equations 132 (2) (1996), 222-238. https://doi.org/10.1006/jdeq.1996.0178
  3. Eugenio Massa, Multiplicity results for a subperlinear elliptic system with partial interference with the spectrum, Nonlinear Analysis 67 (2007), 295-306. https://doi.org/10.1016/j.na.2006.05.011
  4. P.L. Felmer, Periodic solutions of "superquadratic" Hamiltonian systems, J. Dif- ferential Equations 102 (1) (1993), 188-207. https://doi.org/10.1006/jdeq.1993.1027