논문KCI 등재
VARIATIONAL RESULT FOR THE BIFURCATION PROBLEM OF THE HAMILTONIAN SYSTEM
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초록
We get a theorem which shows the existence of at least four 2π-periodic weak solutions for the bifurcation problem of the Hamiltonian system with the superquadratic nonlinearity. We obtain this result by using the variational method, the critical point theory induced from the limit relative category theory.
Abstract
We get a theorem which shows the existence of at least four 2π-periodic weak solutions for the bifurcation problem of the Hamiltonian system with the superquadratic nonlinearity. We obtain this result by using the variational method, the critical point theory induced from the limit relative category theory.
참고문헌 (9)
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- 정택선, "Periodic solutions for the nonlinear Hamiltonian systems", 한국수학논문집, 17(3), pp.331~340 (2009), 강원경기수학회
- A. M. Micheletti, "On the number of solutions for a class of fourth order elliptic problems", Comm. Appl. Nonlinear Anal, 6(2), pp.49~69 (1999)
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관련 논문AI추천
Hamiltonian system with the superquadratic nonlinearity and the limit relative category theory정택선, 최규흥강원경기수학회 · 한국수학논문집2014 · 제22권 제3호Weak solutions for the Hamiltonian bifurcation problem정택선, 최규흥대한수학회 · 대한수학회보2016 · 제53권 제3호Periodic solutions for the nonlinear Hamiltonian systems정택선, 최규흥강원경기수학회 · 한국수학논문집2009 · 제17권 제3호Bounded weak solution for the Hamiltonian system정택선, 최규흥강원경기수학회 · 한국수학논문집2013 · 제21권 제1호Multiple solutions for the nonlinear Hamiltonian system정택선, 최규흥강원경기수학회 · 한국수학논문집2009 · 제17권 제4호PERIODIC SOLUTIONS FOR A KIND OF p-LAPLACIAN HAMILTONIAN SYSTEMSLi Zhang, Weigao Ge대한수학회 · 대한수학회보2010 · 제47권 제2호
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