On the Existence and Uniqueness of Dirichlet Problems on a Positive Half-Line

Micha? Be?dziński; Marek Galewski

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On the Existence and Uniqueness of Dirichlet Problems on a Positive Half-Line

机译：狄利克雷函数的存在性和唯一性问题积极半行

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We consider Dirichlet problems on a positive half-line. The methods which we apply and compare are the usage of a global invertibility theorem and of a direct variational approach. For both approaches the solution is the limit of a strongly convergent minimizing sequence to a suitably chosen action functional. Moreover, we show that the Euler action functional satisfies the PS condition at the infimal level.

机译：我们在积极考虑狄利克雷问题半行。全球可逆性定理的使用吗和直接变分方法。方法解决方案的限制强烈收敛序列到最小化适当选择操作功能。表明欧拉操作功能满足PS infimal级别的条件。

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来源
《Minimax theory and its applications》 |2019年第1期|55-69|共15页
作者
Micha? Be?dziński; Marek Galewski;
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作者单位

Institute of Mathematics, Lodz University of Technology, Wolczanska 215, 90-924 Lodz, Poland;

Institute of Mathematics, Lodz University of Technology, Wolczanska 215, 90-924 Lodz,Poland;

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正文语种英语
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关键词
uniqueness; Reversibility; Calculus of variationBoundary value problems;

机译：惟一性、可逆性、微积分variationBoundary值问题;

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On the Existence and Uniqueness of Dirichlet Problems on a Positive Half-Line

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