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龙以明, Yiming Long,
This paper is published in Advances in Math.Vol. 154 (2000) 76-131.,-0001,():
-1年11月30日
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龙以明, Yiming Long *
This paper is published in J. Diff. Eqns. Vol. 111 (1994) 147-174.,-0001,():
-1年11月30日
In this paper, we study the existence of periodic solutions with prescribed minimal period for superquadratic autonomous second order Hamiltonian systems defined on Rn with no convexity assumptions. We use the direct variational approach for this problem on a W1,2-space of even functions, and prove new iteration inequalities on Morse indices. Using these tools and the saddle point theorem, we obtain results under precisely Rabinowitz' superquadratic condition on potential functions. We show that for every T>0 the above mentioned system possesses a T-periodic even solution with minimal period not smaller than T/(n + 2).
Direct variational method,, Z2-symmetry,, index iteration inequality,, minimal period,, even solution,, superquadratic condition,, non-convexity,, second order Hamiltonian systems.,
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【期刊论文】Generalized Conforming Element (GCE) and Quadrilateral Area Coordinate Method (QACM)
龙以明
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-1年11月30日
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【期刊论文】Multiplicity of closed characteristics on symmetric convex hypersurfaces in R2n
龙以明, Chun-gen Liu*, and Yiming Long, y†‡ Chaofeng Zhuξ
This paper is published in Math. Ann. Vol. 323 (2002), 201-215.,-0001,():
-1年11月30日
Let
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