41 citations · 59 across the 9 of their papers we have counts for
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math.FA2016★ 18 cited
On the Moser-Trudinger inequality in fractional Sobolev-Slobodeckij spaces
Enea Parini, Bernhard Ruf
We consider the problem of finding the optimal exponent in the Moser-Trudinger inequality \[ \sup \left\{\int_Ω\exp{\left(α\,|u|^{\frac{N}{N-s}}\right)}\,\bigg|\,u \in \widetilde{W…
math.AP2016★ 41 cited
Asymptotic Behavior and Decay Estimates of the Solutions for a Nonlinear Parabolic Equation with Exponential Nonlinearity
Giulia Furioli, Tatsuki Kawakami, Bernhard Ruf +1
We consider a nonlinear parabolic equation with an exponential nonlinearity which is critical with respect to the growth of the nonlinearity and the regularity of the initial data.…