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Optimizers for the singular Trudinger–Moser inequalities in the critical case in R2

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  • Nguyen Lam

Abstract

The main purpose of this paper is to study the existence of extremal functions for the singular Trudinger–Moser inequalities in the critical case in R2. More precisely, let 0≤β 0 such that TMa,2,β4π can be achieved for all 0≤β

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  • Nguyen Lam, 2018. "Optimizers for the singular Trudinger–Moser inequalities in the critical case in R2," Mathematische Nachrichten, Wiley Blackwell, vol. 291(14-15), pages 2272-2287, October.
  • Handle: RePEc:bla:mathna:v:291:y:2018:i:14-15:p:2272-2287
    DOI: 10.1002/mana.201600528
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