호남수학학술지 (Honam Mathematical Journal)

  • 제27권4호
  • /
  • Pages.609-619
  • /
  • 2005
  • /
  • 1225-293X(pISSN)
  • /
  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
권호 표지

THE EXISTENCE OF M SOLUTIONS OF THE NONLINEAR ELLIPTIC EQUATION; USING THE VARIATIONAL METHOD

  • JUNG, TACKSUN (Department of Mathematics Kunsan National University) ;
  • CHOI, Q-HEUNG (Department of Mathematics Education Inha University)
  • 투고 : 2005.11.10
  • 발행 : 2005.12.25
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초록

We are concerned with the multiplicity of solutions of the nonlinear elliptic equation with Dirichlet boundary condition. We reveal the existence of m solutions of the nonlinear elliptic equation by a critical point theory, under some condition.

키워드

과제정보

연구 과제 주관 기관 : Kunsan National University

참고문헌

  1. Math. Z. Saddle points and multiple solutions of differential equations Amann, H.
  2. J. Funct. Analysis v.14 Dual variational methods in critical point theory and applications Ambrosetti, A.;Rabinowitz, P.H.
  3. Ann. Mat. Pura Appl. v.120 no.4 Critical point theory and the number of solutions of a nonlinear Dirichlet problem Castro, A.;Lazer, A.C.
  4. SIAM J. Math. Anal. v.25 no.6 Multiple solutions for a nonlinear Dirichlet problem Castro, A.;Cossio, J.
  5. Infinite domensional Morse theory and multiple solution problems Chang, K.C.
  6. J. Differential Equations v.117 An application of a variational reduction method to a nonlinear wave equation Choi, Q.H.;Jung, T.
  7. Rocky Mountain J. Math. v.29 no.1 Multiplicity results on a fourth order nonlinear elliptic equation Jung, T.
  8. Studia Math. v.120 The multiplicity of solutions and geometry of a nonlinear elliptic equation Choi, Q.H.;Jung, T.
  9. Elliptic partial differential equations of second order Gilbarg, D.;Trudinger, N.S.
  10. Math. Ann. v.261 Variational and topological methods in patially ordered Hilbert spaces Hofer, H.
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  12. Nonlinear Anal. v.12 Nontrivial solutions of operators equations and Morse indices of critical points of min-max type Lazer, A.C.;Solimini, S.
  13. Nontrivial critical points for asymptotically quadratic function, Report of International Center for Theoretical Physics IC/390 Li, S.;Liu, J.Q.