Korean Journal of Mathematics

  • 제17권2호
  • /
  • Pages.181-188
  • /
  • 2009
  • /
  • 1976-8605(pISSN)
  • /
  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
권호 표지

APPLICATION OF LINKING FOR AN ELLIPTIC SYSTEM

  • Nam, Hyewon (Department of General Education, Namseoul University)
  • 투고 : 2009.04.22
  • 발행 : 20090600
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

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.

키워드

참고문헌

  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