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【期刊论文】Existence and Multiplicity of Solutions of Semilinear Elliptic Equations*
唐春雷, Chun-Lei Tang and Xing-Ping Wu
,-0001,():
-1年11月30日
The existence and multiplicity results of solutions are obtained by the reduction method and the minimax methods for nonautonomous semilinear elliptic Dirichlet boundary value problem. Some well-known results are generalized.
semilinear elliptic equation,, Dirichlet boundary value problem,, nontrival solution,, the reduction method,, critical point,, the (, PS), condition,, Sobolev', s embedding theorem.,
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27浏览
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【期刊论文】Periodic Solutions for Second Order Systems with not uniformly Coercive Potential*
唐春雷, Chun-Lei Tang and Xing-Ping Wu
,-0001,():
-1年11月30日
The existence and multiplicity of periodic solutions are obtained for the nonau- tonomous second order systems with locally coercive potential, that is, F(t; x)→∞→+as |x|→ ∞! 1 for a.e. t in some positive-measure subset of [0; T], by using an analogy of Egorov's Theorem, the properties of subadditive functions, the least action principle and a three-critical-point theorem proposed by Brezis and Nirenberg.
periodic solution,, second order system,, subadditivity,, coercivity,, Sobolev', s inequality,, critical point.,
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59浏览
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【期刊论文】Periodic Solutions for a Class of Nonautonomous Subquadratic Second Order Hamiltonian Systems*
唐春雷, Chun-Lei Tang and Xing-Ping Wu
,-0001,():
-1年11月30日
Some existence theorems are obtained for periodic solutions of a class of unbounded nonautonomous nonconvex subquadratic second order Hamiltonian systems by using the minimax methods in critical point theory
periodic solution,, second order Hamiltonian system,, the Saddle Point Theorem,, the (, PS), condition,, Sobolev', s inequality
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76浏览
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88下载
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【期刊论文】Periodic Solutions for Second Order Hamiltonian Systems with a change sign potential*
唐春雷, Chun-Lei Tang and Xing-Ping Wu
,-0001,():
-1年11月30日
An existence theorem is obtained for periodic solutions of nonautonomous second order Hamiltonian systems with a change sign potential by the minimax methods in critical point theory.
periodic solution,, second order Hamiltonian system,, the generalized mountain pass Theorem,, the (, PS), condition,, Sobolev', s inequality,, Wirtinger', s inequality
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50浏览
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【期刊论文】Subharmonic Solutions for Nonautonomous Sublinear Second Order Hamiltonian Systems*
唐春雷, Chun-Lei Tang, Xing-Ping Wu
,-0001,():
-1年11月30日
Some existence theorems are obtained for subharmonic solutions of nonautonomous second order Hamiltonian systems by the minimax methods in critical point theory.
subharmonic solution,, second order Hamiltonian system,, the Saddle Point Theorem,, (, PS), condition,, Sobolev', s inequality,, Wirtinger', s inequality
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29浏览
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71下载
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