Some Weighted Inequalities of Trudinger–Moser Type

On attainability of Moser-Trudinger inequality with logarithmic weights in higher dimensions

“…Blow up analysis for Moser-Trudinger functional is dealt in [19,25,26,36]. We list a few other related works in this direction [1,2,3,10,12,13,18,16,20,22,30,32,34] and the references there in for the available literatures in this direction.…”

Extremal function for Moser–Trudinger type inequality with logarithmic weight

“…Moser-Trudinger type inequality had been an interesting topic of research for several authors. We list a few of them [1,2,3,7,8,13,10,12,14,15,18] and the references there in for the available literature in this direction.…”

N- Laplacian problems with critical double exponential nonlinearities

“…N −1 and ω N −1 is the surface area of the unit ball in R N . Recently, the influence of weights on limiting inequalities of Trudinger-Moser type has been studied, for example, see [3,9,4,5,14,15]. If ω ∈ L 1 (Ω) is a non-negative function, we introduce the weighted Sobolev space…”