UNIQUENESS OF LARGE SOLUTIONS FOR A CLASS OF RADIALLY SYMMETRIC ELLIPTIC EQUATIONS
UNIQUENESS OF LARGE SOLUTIONS FOR A CLASS OF RADIALLY SYMMETRIC ELLIPTIC EQUATIONS
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DOI：
10.1142/9789812701589_0005
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发表时间：
2005-09
期刊：
影响因子：
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通讯作者：
J. López-Gómez
中科院分区：
文献类型：
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作者：
J. López-Gómez
本文证明了一类一般的径向对称半线性椭圆型边值问题大解的唯一性，并确定了其边界爆破速度。我们的结果在许多情况下都是最优的，并为我们提供了极其尖锐的现有结果的实质性推广。主要的唯一性定理是最大值原理的直接结果，而不是像大多数现有文献中那样，是关于大解的边界爆破的显式知识。
In this paper we show the uniqueness and ascertain the boundary blow-up rates of the large solutions in a general class of radially symmetric semilinear elliptic boundary value problems. Our results are optimal in many circumstances and provide us with substantial generalizations of extremely sharp existing results. The main uniqueness theorem is a direct consequence of the maximum principle, rather than of the explicit knowledge of the boundary blow-up of the large solutions, as in most of the available references.