Adams-Moser-Trudinger inequality in the cartesian product of Sobolev spaces and its applications

2019/12/07 by Rakesh Arora, Arora, Rakesh, Jacques Giacomoni +6
Computer Science · Mathematics · #Matrix Theory and Algorithms #Numerical methods for differential equations #Spectral Theory in Mathematical Physics #math.AP

paper · pdf · doi:10.48550/arxiv.1912.03512

arxiv created 2019/12/07 · arxiv updated 2019/12/10

Abstract

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.

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