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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R. Arora would like to thank Department of Mathematics, Indian Institute of Technology, Delhi for their kind hospitality during his visit.
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Arora, R., Giacomoni, J., Mukherjee, T. et al. Adams–Moser–Trudinger inequality in the Cartesian product of Sobolev spaces and its applications. RACSAM 114, 111 (2020). https://doi.org/10.1007/s13398-020-00852-0
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DOI: https://doi.org/10.1007/s13398-020-00852-0
Keywords
- Adams–Moser–Trudinger inequality
- Singular Moser–Trudinger inequality
- Kirchhoff equation
- Choquard non-linearity with exponential growth