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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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【期刊论文】Solvability of Forced Dung Equation at Resonance
唐春雷, Chun-Lei Tang
,-0001,():
-1年11月30日
Some existence theorems are obtained for periodic solutions of the forced Dung equation at resonance by the minimax methods.
periodic solution,, Dung equation,, resonance,, the (, PS), condition,, the Saddle Point Theorem,, Wirtinger', s inequality,, Sobolev', s inequality.,
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55浏览
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【期刊论文】Elliptic resonant problems at higher eigenvalues with unbounded nonlinear term
唐春雷, Chun-Lei Tang
,-0001,():
-1年11月30日
The existence and multiplicity results are obtained for elliptic resonant problems at higher eigenvalues with unbounded nonlinear term. The proofs rely on the minimax method and a new interesting integral inequality.
elliptic resonant problem,, the Saddle Point Theorem,, the Generalized Mountain Pass Theorem,, eigenvalues,, critical point,, the Sobolev', s embeding theorem,, H
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22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】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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