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2005年04月06日

【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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2005年04月06日

【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

摘要

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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2005年04月06日

【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

摘要

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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2005年04月06日

【期刊论文】Existence and Multiplicity for Solutions of Neumann Problem for Semilinear Elliptic Equations*

唐春雷， Chun-Lei Tang and Xing-Ping Wu

，-0001，（）：

-1年11月30日

摘要

The existence and multiplicity results are obtained for solutions of Neumann prob- lem for semilinear elliptic equations by the least action principle and the minimax methods respectively.

Neumann problem,， critical point,， critical growth,， the least action principle,， the minimax methods.，