논문KCI 등재
Weak solutions for the Hamiltonian bifurcation problem
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초록
We get a theorem which shows the multiple weak solutions for the bifurcation problem of the superquadratic nonlinear Hamiltonian system. We obtain this result by using the variational method, the critical point theory in terms of the $S^{1}$-invariant functions and the $S^{1}$-invariant linear subspaces.
Abstract
We get a theorem which shows the multiple weak solutions for the bifurcation problem of the superquadratic nonlinear Hamiltonian system. We obtain this result by using the variational method, the critical point theory in terms of the $S^{1}$-invariant functions and the $S^{1}$-invariant linear subspaces.
참고문헌 (5)
- K. C. Chang, "Infinite dimensional Morse Theory and Multiple Solution Problems" (1993), Birkhauser
- M. Degiovanni, "Multiple periodic solutions of asymptotically linear Hamiltonian systems", Quaderni Sem. Mat. Brescia, 8, pp.93~ (1993)
- T. Jung, "Existence of four solutions of the nonlinear Hamiltonian system with nonlinearity crossing two eigenvalues", Boundary Value Problems 2008, pp.1~17 (2008)
- T. Jung, "On the number of the periodic solutions of the nonlinear Hamiltonian system", Nonlinear Anal, 82(23), pp.e1100~e1108 (2009)
- 정택선, "Periodic solutions for the nonlinear Hamiltonian systems", 한국수학논문집, 17(3), pp.331~340 (2009), 강원경기수학회
관련 논문AI추천
VARIATIONAL RESULT FOR THE BIFURCATION PROBLEM OF THE HAMILTONIAN SYSTEM정택선, 최규흥대한수학회 · 대한수학회보2015 · 제52권 제4호Multiple solutions for the nonlinear Hamiltonian system정택선, 최규흥강원경기수학회 · 한국수학논문집2009 · 제17권 제4호Periodic solutions for the nonlinear Hamiltonian systems정택선, 최규흥강원경기수학회 · 한국수학논문집2009 · 제17권 제3호Bounded weak solution for the Hamiltonian system정택선, 최규흥강원경기수학회 · 한국수학논문집2013 · 제21권 제1호Bifurcation problem for the superlinear elliptic operator정택선, 최규흥강원경기수학회 · 한국수학논문집2012 · 제20권 제3호Hamiltonian system with the superquadratic nonlinearity and the limit relative category theory정택선, 최규흥강원경기수학회 · 한국수학논문집2014 · 제22권 제3호
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