A sharp inequality of J. Moser for higher order derivatives
A sharp inequality of J. Moser for higher order derivatives
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DOI：
10.2307/1971445
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发表时间：
1988-09
影响因子：
4.9
通讯作者：
D. Adams
中科院分区：
文献类型：
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作者：
D. Adams
实际上go = nwl/(1)，其中wis单位n球的表面面积。此外，他注意到，如果/3超过go，则(1)不再具有独立于u的co，满足(2)。这一结果与u无关的情况下约有1 /3 >0的存在，这一事实已经被一些作者用各种各样的证明观察到；看到[24],[20],[23],[22],[10],[4],[1],[2],[13],[14]。这些论点中最早的是将指数函数展开成幂级数。然后观察到规范在嵌入
In fact go = nwl/(1), where wnis the area of the surface of the unit n-ball. Also, he notes that if /3 exceeds go then (1) can no longer hold with some co independent of the u, satisfying (2). The fact that this result holds for some /3 > 0 independent of u has been observed now by several authors with a variety of proofs; see [24], [20], [23], [22], [10], [4], [1], [2], [13], [14], for example. The earliest of these arguments expands the exponential function in a power series. Then observing that the norm in the imbedding