A variational approach to some boundary value problems in the half-line
A variational approach to some boundary value problems in the half-line
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DOI：
10.1007/s00033-004-3095-y
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发表时间：
2005-03
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影响因子：
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通讯作者：
J. Gomes;Luis Sanchez
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文献类型：
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作者：
J. Gomes;Luis Sanchez
研究了两类边值问题在区间[0，∞]上解的存在性。这些问题是由数学物理中的模型提出的。在第一类问题中，左端点条件isu(0) = α，而在第二类问题中，施加齐次诺伊曼条件u ' = 0。在这两种情况下，解都满足u(+∞)= 0。我们的方法是变分的，解是作为一些泛函的最小值或山口临界点得到的。
We study the existence of solutions for two kinds of boundary value problem in the interval [0,∞[. The problems are suggested by models in Mathematical Physics. In the first kind of problem the condition at the left endpoint isu(0) = α while in the second kind a homogeneous Neumann conditionu′ = 0 is imposed. In both cases solutions should satisfyu(+∞) = 0. Our approach is variational, solutions being obtained as minimizers or mountain pass critical points of some functional.