Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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APPLICATION OF LINKING FOR AN ELLIPTIC SYSTEM

  • Nam, Hyewon (Department of General Education, Namseoul University)
  • Received : 2009.04.22
  • Published : 20090600
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Abstract

In this article we consider nontrivial solutions of an elliptic system in the bounded smooth domain with homogeneous Dirichlet data. We apply the linking theorem for showing the existence results that is obtained by Massa.

Keywords

References

  1. B. Ruf and P.N. Srikanth, Multiplicity results for superlinear elliptic problems with partial interference with the spectrum, J. Math. Anal. Appl., 118 (1) (1986), 15-23. https://doi.org/10.1016/0022-247X(86)90286-6
  2. 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., 194 (1998), Dekker, New York, 121-130.
  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. F. Pereira, Problemas do tipo Ambrosetti.Prodi para sistemas envolvendo expoentes subcrtico e crtico, Ph.D. Thesis, UNICAMP, Brazil, (2005).
  5. P. L. Felmer, Periodic solutions of "superquadratic" Hamiltonian systems., J. Differential Equations, 102(1) (1993), 188-207. https://doi.org/10.1006/jdeq.1993.1027