SOME MULTIPLICITY RESULTS FOR AN ELASTIC BEAM EQUATION AT RESONANCE

被引:6
作者
马如云
机构
[1] DepartmentojMathematics,NorthwesternTeachersUniversity,Lanzhou
关键词
multiplicity results; elastic beam equations; resonance; technique of connected set;
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摘要
<正> This paper deals with multiplicity results for nonlinear elastic equations of the type-d4u/dx4+π4u+g(x,u)=e(x)(02[0,1].The solvability of this problem has been studied by several authors,but there isn’t any multiplicity result until now to the author’s knowledge.By combining the Lyapunov-Schmidt procedure with the technique of connected set,we establish several multiplicity results under suitable condition.
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页码:193 / 200
页数:8
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