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Adams–Moser–Trudinger inequality in the Cartesian product of Sobolev spaces and its applications
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas ( IF 1.8 ) Pub Date : 2020-04-16 , DOI: 10.1007/s13398-020-00852-0
R. Arora , J. Giacomoni , T. Mukherjee , K. Sreenadh

The main aim of this article is to study non-singular version of Moser-Trudinger and Adams-Moser-Trudinger inequalities and the singular version of Moser-Trudinger equality in the Cartesian product of Sobolev spaces. As an application of these inequalities, we study a system of Kirchhoff equations with exponential non-linearity of Choquard type.

中文翻译:

索博列夫空间笛卡尔积中的 Adams-Moser-Trudinger 不等式及其应用

本文的主要目的是研究 Moser-Trudinger 和 Adams-Moser-Trudinger 不等式的非奇异版本以及 Sobolev 空间的笛卡尔积中 Moser-Trudinger 等式的奇异版本。作为这些不等式的应用,我们研究了具有 Choquard 类型指数非线性的 Kirchhoff 方程组。
更新日期:2020-04-16
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