Adams' inequality is an extension of the Trudinger-Moser inequality to the case when the Sobolev space considered has more than one derivative. The goal of this paper is to give the optimal growth rate of the exponential-type function in Adams' inequality when the problem is considered in the whole space ℝ4.
Adams' Inequality with the Exact Growth Condition in ℝ4 / N. Masmoudi, F. Sani. - In: COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS. - ISSN 0010-3640. - 67:8(2014), pp. 1307-1335. [10.1002/cpa.21473]
Adams' Inequality with the Exact Growth Condition in ℝ4
F. SaniUltimo
2014
Abstract
Adams' inequality is an extension of the Trudinger-Moser inequality to the case when the Sobolev space considered has more than one derivative. The goal of this paper is to give the optimal growth rate of the exponential-type function in Adams' inequality when the problem is considered in the whole space ℝ4.
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