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【期刊论文】Existence of Homoclinic Solution for the Second Order Hamiltonian Systems*
唐春雷, Zeng-Qi Ou, Chun-Lei Tang
,-0001,():
-1年11月30日
An existence theorem of homoclinic solution is obtained for a class of the nonautonomous second order Hamiltonian systems
homoclinic solution, second order Hamiltonian systems, the Generalized Mountain Pass Theorem, superquadratic potentials
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52浏览
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【期刊论文】Existence and Multiplicity of Periodic Solutions
唐春雷, Chun-Lei Tang
,-0001,():
-1年11月30日
The existence and multiplicity of periodic solutions are obtained for the nonau-tonomous second order systems by using the classical theorems of variational calculus and Brezis-Nirenberg's three-critical-point theorem.
periodic solution,, second order system,, subadditive,, coercive,, Sobolev', s inequality,, critical point.,
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72浏览
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【期刊论文】Multiplicity of Periodic Solutions for Second Order Systems with a Small Forcing Term
唐春雷, Chun-Lei Tang
,-0001,():
-1年11月30日
Some multiplicity results are obtained for periodic solutions of second order systems with a small forcing term by using the Implicit Function Theorem and the Morse theory.
periodic solution,, critical point,, coercivity,, the Implicit Function Theorem,, the Morse theory,, Sobolev', s inequality.,
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30浏览
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【期刊论文】Some Existence Theorems for the Sublinear Neumann Boundary Value Problem*
唐春雷, Chun-Lei Tang
,-0001,():
-1年11月30日
The existence results are obtained for solutions of the Neumann problem for sub-linear elliptic equations at resonance by the minimax methods.
Neumann problem,, resonance,, the Saddle Point Theo-rem,, critical point,, the Sobolev', s embedding theorem,, Poincar
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44浏览
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【期刊论文】Multiple Solutions of Neumann Problem for Elliptic Equations*
唐春雷, Chun-Lei Tang
,-0001,():
-1年11月30日
The multiplicity results are obtained for solutions of the Neumann problem for nonlinear elliptic equations at resonance or nonresonance with unbounded nonlinearity by the reduction method and the critical point theory, in particular, a three-critical-point theorem proposed by Brezis-Nirenberg.
Neumann problem,, unbounded nonlinearity,, the re-duction method,, resonance,, the Sobolev', s inequality
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38浏览
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