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. © 2020, The Royal Academy of Sciences, Madrid.

Tuhina Mukherjee

Department of Mathematics

IIT Jodhpur

R. Arora

J. Giacomoni

K. Sreenadh

Fulltext

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Journal	Data powered by TypesetRevista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
Publisher	Data powered by TypesetSpringer
ISSN	15787303